Background
Kauffman, Louis Hirsch was born on February 3, 1945 in Potsdam, New York, United States. Son of Abraham Joseph and Alice (Fisher) Kauffman.
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book
Knots and Physics (Series on Knots and Everything) by Louis H. Kauffman (1994-05-31)
http://www.amazon.com/gp/product/B01JXWNYAS/?tag=2022091-20
Knots and Physics (Third Edition) (K & E Series on Knots and Everything)
(This invaluable book is an introduction to knot and link ...)
This invaluable book is an introduction to knot and link invariants as generalised amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems.In this third edition, a paper by the author entitled “Knot Theory and Functional Integration” has been added. This paper shows how the Kontsevich integral approach to the Vassiliev invariants is directly related to the perturbative expansion of Witten's functional integral. While the book supplies the background, this paper can be read independently as an introduction to quantum field theory and knot invariants and their relation to quantum gravity. As in the second edition, there is a selection of papers by the author at the end of the book. Numerous clarifying remarks have been added to the text.
http://www.amazon.com/gp/product/9810241119/?tag=2022091-20
Formal Knot Theory (Dover Books on Mathematics)
( This exploration of combinatorics and knot theory is ge...)
This exploration of combinatorics and knot theory is geared toward advanced undergraduates and graduate students. The author, Louis H. Kauffman, is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago. Kauffman draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. Featured topics include state, trails, and the clock theorem; state polynomials and the duality conjecture; knots and links; axiomatic link calculations; spanning surfaces; the genus of alternative links; and ribbon knots and the Arf invariant. Key concepts are related in easy-to-remember terms, and numerous helpful diagrams appear throughout the text. The author has provided a new supplement, entitled "Remarks on Formal Knot Theory," as well as his article, "New Invariants in the Theory of Knots," first published in The American Mathematical Monthly, March 1988.
http://www.amazon.com/gp/product/048645052X/?tag=2022091-20
Knots and Physics (Series on Knots and Everything) (Series on Knots and Everything (Paperback))
(This invaluable book is an introduction to knot and link ...)
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas. The book is divided into two parts: Part I is a systematic course on knots and physics starting from the ground up, and Part II is a set of lectures on various topics related to Part I. Part II includes topics such as frictional properties of knots, relations with combinatorics, and knots in dynamical systems. In this new edition, an article on Virtual Knot Theory and Khovanov Homology has beed added.
http://www.amazon.com/gp/product/9814383015/?tag=2022091-20
On Knots. (AM-115)
( On Knots is a journey through the theory of knots, star...)
On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.
http://www.amazon.com/gp/product/0691084351/?tag=2022091-20
Knots and Physics by Louis H. Kauffman B01_0112
("This is the International Edition. The content is in Eng...)
"This is the International Edition. The content is in English, same as US version but different cover. Please DO NOT buy if you can not accept this difference. Ship from Shanghai China, please allow about 3 weeks on the way to US or Europe. Message me if you have any questions."
http://www.amazon.com/gp/product/B001BAM5P6/?tag=2022091-20
Formal Knot Theory (Dover Books on Mathematics) by Louis H. Kauffman (2006-07-07)
http://www.amazon.com/gp/product/B01NBOEVCA/?tag=2022091-20
Knots and Physics (Series on Knots & Everything) by Louis H. Kauffman (2001-07-26)
http://www.amazon.com/gp/product/B01K0Q07Q0/?tag=2022091-20
Knots and Physics (Series on Knots and Everything) (Series on Knots and Everything (Paperback)) by Louis H Kauffman (2013-01-16)
http://www.amazon.com/gp/product/B01JXVKLTG/?tag=2022091-20
Louis Hirsch Kauffman
Edit Profile
Louis Hirsch Kauffman, American Mathematician, educator. Achievements include origination of concept of state model (statistical mechanical) as topological invariant; development of bracket polynomial (statistical mechanics model for Jones polynomial), and Kauffman polynomial (two variable chirality sensitive invariant of knots and links in three dimensional space).
Education
Bachelor of Science, Massachusetts Institute of Technology, 1966; Doctor of Philosophy, Princeton University, 1972.
Career
Instructor, Princeton (New Jersey) U., 1968-1969; assistant professor mathematics to associate professor mathematics, University of Illinois, Chicago, 1971-1984; professor mathematics, University of Illinois, Chicago, since 1985. Visiting professor University of Michigan, Ann Arbor, 1977, U. de Zaragoza, Spain, 1984, U.de Bologna, Italy, 1985, IHES, Bures-Sur-Yvette, France, 1988-1989, RIMS, Tokyo, 1991, Institute Henri Pancaré, Paris, 1997.
Achievements
Works
book
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On Knots. (AM-115)
( On Knots is a journey through the theory of knots, star...)
-
Knots and Physics (Third Edition) (K & E Series on Knots and Everything)
(This invaluable book is an introduction to knot and link ...)
-
Knots and Physics (Series on Knots and Everything) (Series on Knots and Everything (Paperback))
(This invaluable book is an introduction to knot and link ...)
-
Formal Knot Theory (Dover Books on Mathematics)
( This exploration of combinatorics and knot theory is ge...)
-
Knots and Physics by Louis H. Kauffman B01_0112
("This is the International Edition. The content is in Eng...)
- The Interface of Knots and Physics - American Mathematical Society - Short Course - January 2-3, 1995 - San Francisco, California - Proceedings of Symposia in Pure Mathematics - Volume 51
- Knots and Physics (Series on Knots and Everything) by Louis H. Kauffman (1994-05-31)
- Formal Knot Theory (Dover Books on Mathematics) by Louis H. Kauffman (2006-07-07)
- Knots and Physics (Series on Knots & Everything) by Louis H. Kauffman (2001-07-26)
- Knots and Physics (Series on Knots and Everything) (Series on Knots and Everything (Paperback)) by Louis H Kauffman (2013-01-16)
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On Knots. (AM-115)
Connections
Married Deborah Louise Goldsmith, July 5, 1970 (divorced January 1978). Married Diane Beth Slaviero, July 6, 1991.
Awards
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National Science Foundation research grantee, 1976-1978, 87-91, 93-98. Recipient Warren McCulloch award American Society Cyberneutics, 1993, award Alternative National PhilosopohyAssn., 1996.National Science Foundation research grantee, 1976-1978, 87-91, 93-98. Recipient Warren McCulloch award American Society Cyberneutics, 1993, award Alternative National PhilosopohyAssn., 1996.