An introduction to knot theory/
W.B. Raymond Lickorish
- New York: Springer, c1997.
- x, 201 p. : ill. ; 24 cm.
- (Graduate texts in mathematics), 175 .
1. A beginning for knot theory -- 2. Seifert surfaces and knot factorisation -- 3. The Jones polynomial -- 4. Geometry of alternating links -- 5. The Jones polynomial of an alternating link -- 6. The Alexander polynomial -- 7. Covering spaces -- 8. The Conway polynomial, signatures and slice knots -- 9. Cyclic branched covers and the Goeritz matrix -- 10. The Arf invariant and the Jones polynomial -- 11. The fundamental group -- 12. Obtaining 3-manifolds by surgery on S3 -- 13. 3-manifold invariants from the Jones polynomial -- 14. Methods for calculating quantum invariants -- 15. Generalisations of the Jones polynomial -- 16. Exploring the HOMFLY and Kauffman polynomials.