Formal Knot Theory - Brossura

Kauffman, Louis H.

Brossura

ISBN 10: 048645052X ISBN 13: 9780486450520

Casa editrice: Dover Pubns, 2006

Riassunto

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.

Su questo libro

L'autore:

Louis H. Kauffman is a professor in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago.

Contenuti:

1. Introduction 2. State, Trails, and the Clock Theorem 3. State Polynomials and the Duality Conjecture 4. Knots and Links 5. Axiomatic Link Calculations 6. Curliness and the Alexander Polynomial 7. The Coat of Many Colors 8. Spanning Surfaces 9. The Genus of Alternative Links 10. Ribbon Knots and the Arf Invariant Appendix. The Classical Alexander Polynomial References

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2006
• ISBN 10: 048645052X
• ISBN 13: 9780486450520
• Rilegatura: Copertina flessibile
• Numero di pagine: 254