One-cocycles And Knot Invariants: 73 (Series On Knots And Everything) - Image 1

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World Scientific Publishing Company One-cocycles And Knot Invariants: 73 (Series On Knots And Everything)

Name: One-cocycles And Knot Invariants: 73 (Series On Knots And Everything)
Brand: World Scientific Publishing Company
Price: 98.48 GBP
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Geometry & Topology

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Description

One-Cocycles and Knot Invariants is about classical knots, i.e., smooth oriented knots in 3-space. It introduces discrete combinatorial analysis in knot theory in order to solve a global tetrahedron equation. This new technique is then used to construct combinatorial 1-cocycles in a certain moduli space of knot diagrams. The construction of the moduli space makes use of the meridian and the longitude of the knot. The combinatorial 1-cocycles are therefore lifts of the well-known Conway polynomial of knots, and they can be calculated in polynomial time. The 1-cocycles can distinguish loops consisting of knot diagrams in the moduli space up to homology. They give knot invariants when they are evaluated on canonical loops in the connected components of the moduli space. They are a first candidate for numerical knot invariants which can perhaps distinguish the orientation of knots.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9811262993
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 06 January 2023
Listed Since: 08 June 2022

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World Scientific Publishing Company One-cocycles And Knot Invariants: 73 (Series On Knots And Everything)

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World Scientific Publishing Company One-cocycles And Knot Invariants: 73 (Series On Knots And Everything)

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