# Behrend, K. (Kai)

Overview
Works: 15 works in 79 publications in 2 languages and 1,708 library holdings Conference papers and proceedings Author, Editor, Contributor, htt QA3, 514.23
Publication Timeline
.
Most widely held works by K Behrend
Enumerative invariants in algebraic geometry and string theory : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005 by Marcos Marino( )

21 editions published in 2008 in English and held by 652 WorldCat member libraries worldwide

"Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject."--Jacket
Quantum cohomology : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30-July 8, 1997 by K Behrend( Book )

25 editions published between 2002 and 2004 in English and held by 565 WorldCat member libraries worldwide

The book gathers the lectures given at the C.I.M.E. summer school "Quantum Cohomology" held in Cetraro (Italy) from June 30th to July 8th, 1997. The lectures and the subsequent updating cover a large spectrum of the subject on the field, from the algebro-geometric point of view, to the symplectic approach, including recent developments of string-branes theories and q-hypergeometric functions
Derived l-adic categories for algebraic stacks by K Behrend( Book )

10 editions published in 2003 in English and held by 282 WorldCat member libraries worldwide

Introduction The $\ell$-adic formalism Stratifications Topoi Algebraic stacks Convergent complexes Bibliography
String topology for stacks by K Behrend( Book )

9 editions published between 2011 and 2012 in English and held by 197 WorldCat member libraries worldwide

We establish the general machinery of string topology for differentiable stacks. This machinery allows us to treat on an equal footing free loops in stacks and hidden loops. In particular, we give a good notion of a free loop stack, and of a mapping stack $\map(Y,\XX)$, where $Y$ is a compact space and $\XX$ a topological stack, which is functorial both in $\XX$ and $Y$ and behaves well enough with respect to pushouts. We also construct a bivariant (in the sense of Fulton and MacPherson) theory for topological stacks: it gives us a flexible theory of Gysin maps which are automatically compatible with pullback, pushforward and products. Further we prove an excess formula in this context. We introduce oriented stacks, generalizing oriented manifolds, which are stacks on which we can do string topology. We prove that the homology of the free loop stack of an oriented stack and the homology of hidden loops (sometimes called ghost loops) are a Frobenius algebra which are related by a natural morphism of Frobenius algebras. We also prove that the homology of free loop stack has a natural structure of a BV-algebra, which together with the Frobenius structure fits into an homological conformal field theories with closed positive boundaries. Using our general machinery, we construct an intersection pairing for (non necessarily compact) almost complex orbifolds which is in the same relation to the intersection pairing for manifolds as Chen-Ruan orbifold cup-product is to ordinary cup-product of manifolds. We show that the hidden loop product of almost complex is isomorphic to the orbifold intersection pairing twisted by a canonical class. Finally we gave some examples including the case of the classifying stacks [*/G] of a compact Lie group
Enumerative invariants in algebraic geometry and string theory lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005 by D Abramovich( )

2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide

Moduli of non-commutative polarized schemes by K Behrend( )

1 edition published in 2017 in English and held by 2 WorldCat member libraries worldwide

Derived l-adic categories for algebraic stacks by K Behrend( Book )

2 editions published in 2003 in English and held by 2 WorldCat member libraries worldwide

Olfaction under water and in air by the beetle Dytiscus marginalis L. = Riechen in Wasser und in Luft bei Dytiscus marginalis L. by K Behrend( Book )

1 edition published in 1981 in English and held by 1 WorldCat member library worldwide

Quantum cohomology lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 -July 8, 1997( )

2 editions published in 2002 in English and held by 1 WorldCat member library worldwide

Stacks of stable maps and Gromov-Witten invariants by K Behrend( Book )

1 edition published in 1995 in English and held by 1 WorldCat member library worldwide

Stacks of stable maps and Gromov-Witten invariants by K Behrend( Book )

1 edition published in 1995 in English and held by 1 WorldCat member library worldwide

Modulräume für Vektorbündel mit Niveaustrukturen auf algebraischen Kurven by K Behrend( Book )

1 edition published in 1987 in Undetermined and held by 1 WorldCat member library worldwide

Vicky's grosse Chance by Wynn Kincade( Book )

1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide

Orchester Schmetterschlag und andere Geschichten by Sergio Bitossi( Book )

1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide

Der glückliche Bauernhof by Umberto Padroni( Book )

1 edition published in 1968 in German and held by 0 WorldCat member libraries worldwide

more
fewer
Audience Level
 0 1 Kids General Special

Covers
Alternative Names
Behrend, K.

Behrend, K. 1961-

Behrend, Kai

Behrend, Kai A.

Behrend, Kai A. 1961-

Kai Behrend deutscher Mathematiker

Kai Behrend Duits wiskundige

Kai Behrend German mathematician

Kai Behrend tysk matematikar

Kai Behrend tysk matematiker

Languages
English (75)

German (3)