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Gauss Diagram Invariants for Knots and Links on Hardback by T. Fiedler
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Gauss Diagram Invariants for Knots and Links

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Description

This work contains numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using knot diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called T-invariants, separate global knots of some classes and it is conjectured that they separate all global knots. T-invariants cannot be obtained from the (generalized) Kontsevich integral. The book is designed for research workers in low-dimensional topology.
Release date NZ
August 31st, 2001
Author
Audience
  • Professional & Vocational
Illustrations
XVI, 412 p.
Pages
412
Dimensions
155x235x23
ISBN-13
9780792371120
Product ID
2051922

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Gauss Diagram Invariants for Knots and Links by T. Fiedler
$291.00
Gauss Diagram Invariants for Knots and Links
by T. Fiedler ~ Paperback / softback
Available - Usually ships in 3-4 weeks

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