Millett, Kenneth C.
Overview
Works:  22 works in 103 publications in 3 languages and 1,583 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Publication Timeline
.
Most widely held works by
Kenneth C Millett
Algebraic and geometric topology : proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 2529,
1977 by
Kenneth C Millett(
Book
)
26 editions published between 1978 and 2006 in 3 languages and held by 558 WorldCat member libraries worldwide
26 editions published between 1978 and 2006 in 3 languages and held by 558 WorldCat member libraries worldwide
Index theory of elliptic operators, foliations, and operator algebras : proceedings of AMS special sessions held January 7,
1986 and April 11, 1986 by
American Mathematical Society(
Book
)
14 editions published between 1988 and 2012 in English and Multiple languages and held by 294 WorldCat member libraries worldwide
14 editions published between 1988 and 2012 in English and Multiple languages and held by 294 WorldCat member libraries worldwide
Physical knots : knotting, linking, and folding geometric objects in R³ : AMS Special Session on Physical Knotting and Unknotting,
Las Vegas, Nevada, April 2122, 2001 by
Jorge Alberto Calvo(
Book
)
14 editions published between 2002 and 2012 in English and held by 252 WorldCat member libraries worldwide
"This book introduces the world of physical knot theory in all its manifestations and points the way for new research. It is suitable for a diverse audience of mathematicians, computer scientists, engineers, biologists, chemists, and physicists."BOOK JACKET
14 editions published between 2002 and 2012 in English and held by 252 WorldCat member libraries worldwide
"This book introduces the world of physical knot theory in all its manifestations and points the way for new research. It is suitable for a diverse audience of mathematicians, computer scientists, engineers, biologists, chemists, and physicists."BOOK JACKET
Piecewise linear concordances and isotopies by
Kenneth C Millett(
Book
)
13 editions published in 1974 in English and held by 240 WorldCat member libraries worldwide
13 editions published in 1974 in English and held by 240 WorldCat member libraries worldwide
Random knotting and linking by
Kenneth C Millett(
Book
)
11 editions published in 1994 in English and held by 168 WorldCat member libraries worldwide
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wetlab molecular biology
11 editions published in 1994 in English and held by 168 WorldCat member libraries worldwide
This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology to statistical mechanics to theoretical chemistry to wetlab molecular biology
Algebraic and geometric topology : proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 2529,
1977 by
Algebraic and Geometric Topology Symposium(
Book
)
3 editions published in 1978 in English and held by 28 WorldCat member libraries worldwide
3 editions published in 1978 in English and held by 28 WorldCat member libraries worldwide
Piecewise linear concordances and isotopies by
Kenneth C Millett(
)
3 editions published in 1974 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 1974 in English and held by 14 WorldCat member libraries worldwide
Algebraic and Geometric Topology by
Kenneth C Millett(
)
3 editions published between 1978 and 2008 in English and held by 11 WorldCat member libraries worldwide
3 editions published between 1978 and 2008 in English and held by 11 WorldCat member libraries worldwide
Physical and numerical models in knot theory : including applications to the life sciences by
Jorge Alberto Calvo(
Book
)
2 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special st
2 editions published in 2005 in English and held by 3 WorldCat member libraries worldwide
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special st
A polynomial invariant of oriented links by
W. B. Raymond Lickorish(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Algebraic and geometric topology ; proceedings of a symposium held at Santa Barbara in honor of Raymond L. Wilder, July 2529,
1978 by
Kenneth C Millett(
Book
)
1 edition published in 1978 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1978 in English and held by 2 WorldCat member libraries worldwide
The theory of Euclidean bundle pairs : homotopy normal bundles and nonzero sections by
Kenneth C Millett(
)
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
A polynomial invariant for unoriented knots and links by Robert D Brandt(
Book
)
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide
Random Knotting and Linking. Series on Knots and Everything, Volume 7(
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
This volume includes both asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology and statistical mechanics to theoretical chemistry and wetlab molecular biology
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
This volume includes both asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths. The statistical mechanics and topology of surfaces on the ddimensional simple cubic lattice are investigated. The energy of knots is studied both analytically and numerically. Vassiliev invariants are investigated and used in random knot simulations. A mutation scheme which leaves the Jones polynomial unaltered is described. Applications include the investigation of RNA secondary structure using Vassiliev invariants, and the direct experimental measurement of DNA knot probability as a function of salt concentration in random cyclization experiments on linear DNA molecules. The papers in this volume reflect the diversity of interest across science and mathematics in this subject, from topology and statistical mechanics to theoretical chemistry and wetlab molecular biology
Algebraic and geometry topology Symposium : proceedings of a symposium held at the University of California, Santa Barbara,
ca, 1977(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Knotting fingerprints resolve knot complexity and knotting pathways in ideal knots(
)
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract We use disk matrices to define knotting fingerprints that provide finegrained insights into the local knotting structure of ideal knots. These knots have been found to have spatial properties that highly correlate with those of interesting macromolecules. From this fine structure and an analysis of the associated planar graph, one can define a measure of knot complexity using the number of independent unknotting pathways from the global knot type as the knot is trimmed progressively to a short arc unknot. A specialization of the Cheeger constant provides a measure of constraint on these independent unknotting pathways. Furthermore, the structure of the knotting fingerprint supports a comparison of the tight knot pathways to the unconstrained unknotting pathways of comparable length
1 edition published in 2015 in English and held by 1 WorldCat member library worldwide
Abstract We use disk matrices to define knotting fingerprints that provide finegrained insights into the local knotting structure of ideal knots. These knots have been found to have spatial properties that highly correlate with those of interesting macromolecules. From this fine structure and an analysis of the associated planar graph, one can define a measure of knot complexity using the number of independent unknotting pathways from the global knot type as the knot is trimmed progressively to a short arc unknot. A specialization of the Cheeger constant provides a measure of constraint on these independent unknotting pathways. Furthermore, the structure of the knotting fingerprint supports a comparison of the tight knot pathways to the unconstrained unknotting pathways of comparable length
Physical knoth : knotting, linking, and folding geometric objects in R^3 : AMS Special Session on Physical Knotting and Unknotting,
Las Vegas, Nevada, April 2122, 2001 by AMS Special Session on Physical Knotting and Unknotting(
Book
)
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
1 edition published in 2002 in English and held by 1 WorldCat member library worldwide
Symposium held at santa barbara in honor of raymond l. Wilder, july 2529 1977  algebraic ang geometric topology by
Kenneth C Millett(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Index Theory of Elliptic Operators, Foliations, and Operator Algebras by
Jerome Kaminker(
)
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
1 edition published in 1988 in English and held by 1 WorldCat member library worldwide
Piecewise linear concordances and isotopies by
Kenneth C Millett(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
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Audience Level
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Related Identities
 Wilder, Raymond Louis 18961982 Other Honoree Dedicatee
 University of California, Santa Barbara
 National Science Foundation (U.S.)
 Schochet, Claude 1944 Other Editor
 Kaminker, Jerome Other Author Editor
 American Mathematical Society
 Rawdon, Eric J. 1970 Other Editor
 Calvo, Jorge Alberto 1971 Other Author Editor
 Sumners, De Witt L. Other Editor
 Algebraic and Geometric Topology Symposium (1977, Santa Barbara, Calif.)
Useful Links
Associated Subjects
Algebraic topology Concordances Concordances (Topology) Elliptic operators Foliations (Mathematics) Global analysis (Mathematics) Index theory (Mathematics) Isotopies (Topology) Knot theory Link theory Manifolds (Mathematics) Mathematics Operator algebras Piecewise linear topology Topology Wilder, Raymond Louis,
Covers
Alternative Names
Kenneth Millett American mathematician
Kenneth Millett Amerikaans wiskundige
Kenneth Millett mathématicien américain
Millett, K. C.
Millett, K. C. (Kenneth C.)
Languages