38:
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The
Interface of Knots and Physics: American Mathematical Society Short Course January 2–3, 1995 San Francisco, California (Proceedings of Symposia in Applied Mathematics)
401:
is equal to the original Jones polynomial. The generators for the chain complex of the
Khovanov homology are states of the bracket polynomial decorated with elements of a
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397:'s construction of a homology for knots and links, creating a stronger invariant than the Jones polynomial and such that the graded Euler characteristic of the
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Kauffman's research interests are in the fields of cybernetics, topology, and mathematical physics. His work is primarily on the topics of
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and the 1996 award of the
Alternative Natural Philosophy Association for his work in discrete physics. He is the 2014 recipient of the
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Louis H. Kauffman, H. Pierre Noyes, Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics,
592:(DOC), which they presented in revised form in 1996. In the meantime, the theory was presented in a modified form by Kauffman and
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is author of several monographs on knot theory and mathematical physics. His publication list numbers over 170. Books:
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Hypercomplex
Iterations: Distance Estimation and Higher Dimensional Fractals (Series on Knots and Everything, Vol 17)
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389:. In particular, Kauffman's interpretation of the Jones polynomial allows generalization to state sum invariants of
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Knots at Hellas 98: Proceedings of the
International Conference on Knot Theory and Its Ramifications
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713:, with Andrzej Stasiak and Vsevolod Katritch, World Scientific Publishing Company, 414 pp.
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373:. Although it is not an invariant of knots or links (as it is not invariant under type I
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Kauffman has worked at many places as a visiting professor and researcher, including the
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of his graduating class at
Norwood Norfolk Central High School in 1962. He received his
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385:. The bracket polynomial is important in unifying the Jones polynomial with other
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In 1994, Kauffman and Tom Etter wrote a draft proposal for a non-commutative
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in the
Department of Mathematics, Statistics, and Computer Science at the
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303:. He plays clarinet in the ChickenFat Klezmer Orchestra in Chicago.
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Cyclic
Branched-Covers, O(n)-Actions and Hypersurface Singularities
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Cyclic
Branched-Covers, O(n)-Actions and Hypersurface Singularities
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T. Etter, L.H. Kauffman, ANPA West
Journal, vol. 6, no. 1, pp. 3–5
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He is the founding editor and one of the managing editors of the
331:, and foundations. In topology, he introduced and developed the
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679:
Knots and Applications (Series on Knots and Everything, Vol 6)
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203:. He is best known for the introduction and development of the
125:
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Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds
663:, with Randy A. Baadhio, World Scientific Pub Co Inc, 394 pp.
232:
393:. Subsequently, the bracket polynomial formed the basis for
295:. He writes a column entitled Virtual Logic for the journal
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together with a presentation of a derivation of free space
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377:), a suitably "normalized" version yields the famous
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List of Fellows of the American Mathematical Society
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invariant which generalizes the bracket polynomial.
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World Scientific Book Series On Knots and Everything
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Quantum Topology (Series on Knots & Everything)
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794:
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743:(4th ed.), World Scientific Publishing Company,
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734:Intelligence of Low Dimensional Topology 2006
299:. From 2005 to 2008, he was president of the
1026:Fellows of the American Mathematical Society
1011:Massachusetts Institute of Technology alumni
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288:Journal of Knot Theory and Its Ramifications
862:Kauffman, Louis; Banchoff, Thomas (1977).
736:, with J. Scott Carter and Seiichi Kamada.
36:
850:Proceedings of the Royal Society London A
760:The Mathematics of Charles Sanders Peirce
687:, with the American Mathematical Society.
427:due to Louis Kauffman. It is defined as
264:Institut des Hautes Études Scientifiques
504:{\displaystyle F(K)(a,z)=a^{-w(K)}L(K)}
163:(born February 3, 1945) is an American
1021:University of Illinois Chicago faculty
973:
864:"Immersions and Mod-2 quadratic forms"
802:"Math 569 - Knot Theory - Spring 2017"
766:, Vol.8, no.1–2, 2001, pp. 79–110
408:
674:, Princeton University Press, 312 pp.
342:
229:Massachusetts Institute of Technology
82:Massachusetts Institute of Technology
996:21st-century American mathematicians
991:20th-century American mathematicians
720:, with Yumei Dang and Daniel Sandin.
656:, Princeton University Press 498 pp.
603:
13:
754:Articles and papers, a selection:
631:In 2012 he became a fellow of the
266:in Bures Sur Yevette, France, the
14:
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948:
869:The American Mathematical Monthly
247:written under the supervision of
177:University of Illinois at Chicago
119:University of Illinois at Chicago
626:American Society for Cybernetics
618:American Society for Cybernetics
301:American Society for Cybernetics
276:Federal University of Pernambuco
189:topological quantum field theory
764:Cybernetics & Human Knowing
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787:Mathematics Genealogy Project
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729:, Dover Publications, 272 pp.
633:American Mathematical Society
353:In the mathematical field of
297:Cybernetics and Human Knowing
966:ChickenFat Klezmer Orchestra
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7:
1016:Princeton University alumni
852:(1996), vol. 452, pp. 81–95
278:in Recife, Brazil, and the
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193:quantum information theory
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590:discrete ordered calculus
584:Discrete ordered calculus
315:and its connections with
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942:, retrieved 2013-01-27.
930:, retrieved 2014-11-02.
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282:in Cambridge, England.
268:Institut Henri Poincaré
201:categorical mathematics
19:For the violinist, see
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270:in Paris, France, the
256:University of Zaragoza
179:. He does research in
169:mathematical physicist
16:American mathematician
961:Hypercomplex Fractals
571:
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317:statistical mechanics
272:University of Bologna
243:in 1972, with thesis
161:Louis Hirsch Kauffman
1001:American topologists
610:Lester R. Ford Award
569:{\displaystyle L(K)}
551:
536:{\displaystyle w(K)}
518:
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361:, also known as the
291:, and editor of the
241:Princeton University
78:Princeton University
957:homepage at uic.edu
908:asc-cybernetics.org
700:Vaughan F. R. Jones
696:Cameron McA. Gordon
598:Maxwell's equations
421:Kauffman polynomial
415:Kauffman polynomial
409:Kauffman polynomial
337:Kauffman polynomial
209:Kauffman polynomial
171:, and professor of
92:Kauffman polynomial
726:Formal Knot Theory
704:Sofia Lambropoulou
566:
533:
501:
387:quantum invariants
375:Reidemeister moves
359:bracket polynomial
349:Bracket polynomial
343:Bracket polynomial
333:bracket polynomial
262:in Iowa City, the
260:University of Iowa
205:bracket polynomial
928:About SSC: Awards
749:978-981-4383-00-4
741:Knots and Physics
644:Louis H. Kauffman
604:Awards and honors
403:Frobenius algebra
399:Khovanov homology
158:
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99:Scientific career
30:Louis H. Kauffman
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423:is a 2-variable
395:Mikhail Khovanov
383:Jones polynomial
363:Kauffman bracket
280:Newton Institute
231:in 1966 and his
144:Doctoral advisor
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58:February 3, 1945
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42:Kauffman in 2014
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578:regular isotopy
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74:Alma mater
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1006:Cyberneticists
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955:Louis Kauffman
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949:External links
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816:"Presentation"
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258:in Spain, the
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88:Known for
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986:Living people
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822:on 2008-09-17
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672:Sostenes Lins
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60:(age 79)
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21:Louis Kaufman
935:
923:
911:. Retrieved
907:
904:"ASC Awards"
898:
873:
867:
857:
844:
835:
824:. Retrieved
820:the original
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639:Publications
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371:framed links
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197:diagrammatic
160:
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130:
115:Institutions
98:
981:1945 births
876:: 168–185.
711:Ideal Knots
391:3-manifolds
381:called the
355:knot theory
313:knot theory
237:mathematics
185:knot theory
173:mathematics
109:Mathematics
66:Nationality
975:Categories
826:2007-09-26
771:References
367:polynomial
54:1945-02-03
608:He won a
473:−
215:Biography
653:On Knots
207:and the
181:topology
69:American
913:May 12,
890:2319486
785:at the
694:, with
670:, with
543:is the
365:, is a
325:algebra
227:at the
888:
762:, in:
758:2001,
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739:2012,
732:2007,
723:2006,
716:2002,
709:1999,
690:1998,
683:1995,
677:1995,
666:1994,
659:1993,
650:1987,
612:(with
545:writhe
514:where
357:, the
195:, and
137:(1972)
135:
126:Thesis
105:Fields
886:JSTOR
576:is a
239:from
233:Ph.D.
915:2024
745:ISBN
702:and
547:and
419:The
335:and
307:Work
225:B.S.
199:and
48:Born
878:doi
235:in
977::
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