Gauss Diagram Invariants for Knots and Links
Author:   T. Fiedler
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2001
Volume:   532
ISBN:  

9789048157488


Pages:   412
Publication Date:   15 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Gauss Diagram Invariants for Knots and Links


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Overview

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. Audience: The book is designed for research workers in low-dimensional topology.

Full Product Details

Author:   T. Fiedler
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2001
Volume:   532
Dimensions:   Width: 16.00cm , Height: 2.20cm , Length: 24.00cm
Weight:   0.750kg
ISBN:  

9789048157488


ISBN 10:   904815748
Pages:   412
Publication Date:   15 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1 The space of diagrams.- 2 Invariants of knots and links by Gauss sums.- 3 Applications.- 4 Global knot theory in F2 × ?.- 5 Isotopies with restricted cusp crossing for fronts with exactly two cusps of Legendre knots in ST*?2.

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