Del 175 - Graduate Texts in Mathematics

Introduction to Knot Theory

Inbunden, Engelska, 1997

AvW.B.Raymond Lickorish

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This account is an introduction to mathematical knot theory, the theory of knots and links of simple closed curves in three-dimensional space. Motivation for such a topological study of knots is meant to come from a curiosity to know how the ge ometry of three-dimensional space can be explored by knotting phenomena using precise mathematics.

Produktinformation

Utgivningsdatum1997-10-03
Mått155 x 235 x 19 mm
Vikt472 g
FormatInbunden
SpråkEngelska
SerieGraduate Texts in Mathematics
Antal sidor204
FörlagSpringer-Verlag New York Inc.
ISBN9780387982540

Tillhör följande kategorier

1. A Beginning for Knot Theory.- Exercises.- 2. Seifert Surfaces and Knot Factorisation.- Exercises.- 3. The Jones Polynomial.- Exercises.- 4. Geometry of Alternating Links.- Exercises.- 5. The Jones Polynomial of an Alternating Link.- Exercises.- 6. The Alexander Polynomial.- Exercises.- 7. Covering Spaces.- Exercises.- 8. The Conway Polynomial, Signatures and Slice Knots.- Exercises.- 9. Cyclic Branched Covers and the Goeritz Matrix.- Exercises.- 10. The Arf Invariant and the Jones Polynomia.- Exercises.- 11. The Fundamental Group.- Exercises.- 12. Obtaining 3-Manifolds by Surgery on S3.- Exercises.- 13. 3-Manifold Invariants From The Jones Polynomial.- Exercises.- 14. Methods for Calculating Quantum Invariants.- Exercises.- 15. Generalisations of the Jones Polynomial.- Exercises.- 16. Exploring the HOMFLY and Kauffman Polynomials.- Exercises.- References.