£72.77

Springer Gauss Diagram Invariants for Knots and Links 532

Name: Springer Gauss Diagram Invariants for Knots and Links 532
Brand: Springer
Price: 72.77 GBP
Availability: InStock

Geometry & Topology

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Description

Explore advanced topological concepts with Gauss Diagram Invariants for Knots and Links, part of the Mathematics and Its Applications series (532) from Springer. This mathematical text focuses on Gauss diagram invariants, which serve as isotopy invariants of oriented knots in manifolds. These manifolds are defined as the product of a surface and an oriented line, regardless of whether the surface is orientable. The book provides a combinatorial approach to defining these invariants through knot diagrams. The values of these invariants are found in free abelian groups, generated either by the first homology group of the surface or by the set of free homotopy classes of loops within the surface. Readers will find detailed mathematical results, including the construction of invariants of finite type for arbitrary knots in non-orientable 3-manifolds. These specific invariants are designed to distinguish homotopic knots with homeomorphic complements, providing essential tools for researchers and students in geometry and topology.

Key Features

Focuses on Gauss diagram invariants as isotopy invariants of oriented knots in specific manifolds.

Provides a combinatorial method for defining invariants using knot diagrams.

Explains how invariants take values in free abelian groups generated by surface homology groups.

Covers the construction of finite type invariants for arbitrary knots in non-orientable 3-manifolds.

Includes methods to distinguish homotopic knots that possess homeomorphic complements.

Part of the recognized Mathematics and Its Applications series, volume 532 by Springer.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 904815748X
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 15 December 2010
Listed Since: 20 September 2010

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Springer Gauss Diagram Invariants for Knots and Links 532

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