Gauss Diagram Invariants for Knots and Links by Thomas Fielder

Contains numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3-space. This book describes these invariants, called Gauss diagram invariants, in a combinatorial way using knot diagrams. This book contains new 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. This book is designed for research workers in low-dimensional topology.
`Author(s) :` Thomas Fielder	`Format :` Hardback Book
`ISBN-10 :` 0792371127	`ISBN-13 :` 9780792371120
`RRP :` £111.50	`Best available price :` £ / $
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Product Details:

Series Title : Mathematics & Its Applications S.

Country Publication : Netherlands

Publication Date : 01/08/2001

Publisher : Kluwer Academic Publishers Group

Page Length : 428mm

Page Size : 230mm