Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Polynomial One-Cocycles for Knots and Closed Braids

Polynomial One-Cocycles for Knots and Closed Braids

Fiedler Thomas

Hardcover

Series: Knots and Everything, Book 64

General MathematicsGeometry

ISBN10: 9811210292
ISBN13: 9789811210297
Publisher: World Scientific Publishing Company
Published: Sep 7 2019
Pages: 260
Weight: 1.14
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English

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.

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