WorldCat Identities

Fulton, William 1939-

Works: 119 works in 490 publications in 7 languages and 8,907 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Other, Editor, Honoree
Classifications: QA564, 512.33
Publication Timeline
Most widely held works by William Fulton
Young tableaux : with applications to representation theory and geometry by William Fulton( )

34 editions published between 1996 and 2003 in English and held by 1,193 WorldCat member libraries worldwide

Young tableaux are fillings of the boxes of diagrams that correspond to partitions with positive integers, that are strictly increasing down columns and weakly increasing along rows. The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, the representations of the symmetric and general linear groups, and the geometry of flag varieties. Many of these applications have not been available in book form. In the first part of the book the author develops the basic combinatorics of Young tableaux, including the remarkable constructions of "bumping" and "sliding" that can be used to make them into a monoid, and several interesting correspondences. In Part II these results are used to study representations of the symmetric and general linear groups. In Part III we see relations with geometry on Grassmanians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Two appendices contain variations of the combinatorics of Part I and the topology needed to relate subvarieties to cohomology classes. The combinatorial chapters of the book are self-contained so that students will find the discussion easy to follow. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful
Intersection theory by William Fulton( Book )

40 editions published between 1983 and 1998 in 4 languages and held by 927 WorldCat member libraries worldwide

From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic geometry. Fulton's introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996
Algebraic curves, an introduction to algebraic geometry by William Fulton( Book )

56 editions published between 1969 and 2008 in 3 languages and held by 829 WorldCat member libraries worldwide

The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections
Algebraic topology : a first course by William Fulton( Book )

28 editions published between 1995 and 2013 in 3 languages and held by 750 WorldCat member libraries worldwide

To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the relations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differential topology, etc.), we concentrate our attention on concrete problems in low dimensions, introducing only as much algebraic machinery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topologists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical development of the subject. What would we like a student to know after a first course in topology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: understanding the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; winding numbers and degrees of mappings, fixed-point theorems; applications such as the Jordan curve theorem, invariance of domain; indices of vector fields and Euler characteristics; fundamental groups
Introduction to toric varieties by William Fulton( Book )

20 editions published between 1993 and 2016 in English and held by 697 WorldCat member libraries worldwide

Toric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Riemann-Roch translate into simple facts about polytopes, toric varieties provide a marvelous source of examples in algebraic geometry. In the other direction, general facts from algebraic geometry have implications for such polytopes, such as to the problem of the number of lattice points they contain. In spite of the fact that toric varieties are very special in the spectrum of all algebraic varieties, they provide a remarkably useful testing ground for general theories. The aim of this mini-course is to develop the foundations of the study of toric varieties, with examples, and describe some of these relations and applications. The text concludes with Stanley's theorem characterizing the numbers of simplicies in each dimension in a convex simplicial polytope. Although some general theorems are quoted without proof, the concrete interpretations via simplicial geometry should make the text accessible to beginners in algebraic geometry
Representation theory : a first course by William Fulton( Book )

12 editions published between 1991 and 2013 in English and held by 672 WorldCat member libraries worldwide

The primary goal of these lectures is to introduce a beginner to the finite-dimensional representations of Lie groups and Lie algebras. Intended to serve non-specialists, the concentration of the text is on examples. The general theory is developed sparingly, and then mainly as useful and unifying language to describe phenomena already encountered in concrete cases. The book begins with a brief tour through representation theory of finite groups, with emphasis determined by what is useful for Lie groups. The focus then turns to Lie groups and Lie algebras and finally to the heart of the course: working out the finite dimensional representations of the classical groups. The goal of the last portion of the book is to make a bridge between the example-oriented approach of the earlier parts and the general theory. -- PUBLISHER DESCRIPTION
Schubert varieties and degeneracy loci by William Fulton( Book )

21 editions published between 1998 and 2006 in English and German and held by 547 WorldCat member libraries worldwide

Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry
Algebraic geometry : proceedings of the US-USSR symposium held in Chicago, June 20-July 14, 1989 by Spencer Bloch( Book )

16 editions published between 1991 and 2006 in English and held by 506 WorldCat member libraries worldwide

Riemann-Roch algebra by William Fulton( Book )

12 editions published between 1984 and 2010 in 3 languages and held by 485 WorldCat member libraries worldwide

Introduction to intersection theory in algebraic geometry by William Fulton( Book )

27 editions published between 1983 and 1999 in English and Undetermined and held by 396 WorldCat member libraries worldwide

Harmonic Maps, Conservation Laws and Moving Frames by B Bollobas( )

3 editions published in 2002 in English and held by 379 WorldCat member libraries worldwide

Annotation This accessible introduction to harmonic map theory and its analytical aspects, covers recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. It then presents a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A presentation of "exotic" functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a "Coulomb moving frame" is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces
Typical dynamics of volume preserving homeomorphisms by Steve Alpern( )

3 editions published in 2001 in English and held by 363 WorldCat member libraries worldwide

This 2000 book provides a self-contained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typical properties of volume preserving bijections of the underlying measure space. The authors make the first part of this book very concrete by considering volume preserving homeomorphisms of the unit n-dimensional cube, and they go on to prove fixed point theorems (Conley & ndash;Zehnder & ndash; Franks). This is done in a number of short self-contained chapters which would be suitable for an undergraduate analysis seminar or a graduate lecture course. Much of this work describes the work of the two authors, over the last twenty years, in extending to different settings and properties, the celebrated result of Oxtoby and Ulam that for volume homeomorphisms of the unit cube, ergodicity is a typical property
Categorical framework for the study of singular spaces by William Fulton( Book )

15 editions published between 1981 and 1984 in English and held by 276 WorldCat member libraries worldwide

Recent progress in intersection theory by Geir Ellingsrud( Book )

8 editions published in 2000 in English and held by 212 WorldCat member libraries worldwide

The articles in this volume are an outgrowth of an International Confer ence in Intersection Theory that took place in Bologna, Italy (December 1997). In a somewhat unorthodox format aimed at both the mathematical community as well as summer school students, talks were research-oriented as well as partly expository. There were four series of expository talks by the following people: M. Brion, University of Grenoble, on Equivariant Chow groups and applications; H. Flenner, University of Bochum, on Joins and intersections; E.M. Friedlander, Northwestern University, on Intersection products for spaces of algebraic cycles; R. Laterveer, University of Strasbourg, on Bigraded Chow (co)homology. Four introductory papers cover the following topics and bring the reader to the forefront of research: 1) the excess intersection algorithm of Stuckrad and Vogel, combined with the deformation to the normal cone, together with many of its geo metric applications; 2) new and very important homotopy theory techniques that are now used in intersection theory; 3) the Bloch-Beilinson filtration and the theory of motives; 4) algebraic stacks, the modern language of moduli theory. Other research articles concern such active fields as stable maps and Gromov-Witten invariants, deformation theory of complex varieties, and others. Organizers of the conference were Rudiger Achilles, Mirella Manaresi, and Angelo Vistoli, all from the University of Bologna; the scientific com mittee consisted of Geir Ellingsrud, University of Oslo, William Fulton, University of Michigan at Ann Arbor, and Angelo Vistoli. The conference was financed by the European Union (contract no
Representation theory : a first course by William Fulton( Book )

31 editions published between 1991 and 2005 in English and Undetermined and held by 138 WorldCat member libraries worldwide

The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific
Riemann-Roch Algebra by William Fulton( )

2 editions published in 1985 in English and held by 63 WorldCat member libraries worldwide

In various contexts of topology, algebraic geometry, and algebra (e.g. group representations), one meets the following situation. One has two contravariant functors K and A from a certain category to the category of rings, and a natural transformation p:K--+A of contravariant functors. The Chern character being the central exam ple, we call the homomorphisms Px: K(X)--+ A(X) characters. Given f: X--+ Y, we denote the pull-back homomorphisms by and fA: A(Y)--+ A(X). As functors to abelian groups, K and A may also be covariant, with push-forward homomorphisms and fA: A(X)--+ A(Y). Usually these maps do not commute with the character, but there is an element r f E A(X) such that the following diagram is commutative: K(X)~A(X) fK j J~A K(Y) --p;-+ A(Y) The map in the top line is p x multiplied by r f. When such commutativity holds, we say that Riemann-Roch holds for f. This type of formulation was first given by Grothendieck, extending the work of Hirzebruch to such a relative, functorial setting. Since then viii INTRODUCTION several other theorems of this Riemann-Roch type have appeared. Un derlying most of these there is a basic structure having to do only with elementary algebra, independent of the geometry. One purpose of this monograph is to describe this algebra independently of any context, so that it can serve axiomatically as the need arises
Algebraic geometry : Bowdoin 1985 by Summer Research Institute on Algebraic Geometry( Book )

3 editions published in 1987 in English and held by 57 WorldCat member libraries worldwide

Floer homology groups in Yang-Mills theory by S. K Donaldson( )

1 edition published in 2002 in English and held by 34 WorldCat member libraries worldwide

Annotation This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for self-dual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated Seiberg-Witten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution
Curvas algebraicas : introducción a la geometría algebraica by William Fulton( Book )

8 editions published between 1971 and 2005 in Spanish and held by 24 WorldCat member libraries worldwide

Special volume in honor of William Fulton : [on the occasion of his sixtieth birthday]( Book )

3 editions published in 2000 in English and held by 8 WorldCat member libraries worldwide

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WorldCat IdentitiesRelated Identities
Representation theory : a first course Representation theory : a first course
Intersection theoryAlgebraic topology : a first courseIntroduction to toric varietiesRepresentation theory : a first courseSchubert varieties and degeneracy lociAlgebraic geometry : proceedings of the US-USSR symposium held in Chicago, June 20-July 14, 1989Riemann-Roch algebraHarmonic Maps, Conservation Laws and Moving Frames
Alternative Names
Fulton, B. 1939-

Fulton, Bill 1939-

Fulton, U.

Fulton, U. 1939-

Fulton, Uil'jam 1939-

Fulton, W.

Fulton, W. 1939-

Fulton, W. E. 1939-

Fulton, W. (William)

Fulton, W. (William), 1939-

Fulton, William

Fulton, William E.

Fulton, William E. 1939-

Fulton, William Edgar

William Fulton Amerikaans wiskundige

William Fulton amerikansk matematikar

William Fulton amerikansk matematiker

William Fulton matemático estadounidense

William Fulton matematico statunitense

William Fulton mathématicien américain

William Fulton US-amerikanischer Mathematiker

Уильям Фултон американский математик

Фултон, Уильям.

وليم فولتن

وليم فولتن رياضياتي أمريكي


フルトン, W.