Polynomial One-Cocycles for Knots and Closed Braids
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Book Overview Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known...
Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under "higher" Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many "canonical" loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.
Book Details Format: Hardcover | Pages: 229 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811210292
FormatHardcover
Pages229
LanguageEnglish
ISBN9811210292
EAN9789811210297
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight1.14 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.63 Inches
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