Description

Book Synopsis
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.

Polynomial One-cocycles For Knots And Closed

Product form

£85.50

Includes FREE delivery

RRP £90.00 – you save £4.50 (5%)

Order before 4pm tomorrow for delivery by Mon 29 Dec 2025.

A Hardback by Thomas Fiedler

Out of stock


    View other formats and editions of Polynomial One-cocycles For Knots And Closed by Thomas Fiedler

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 26/09/2019
    ISBN13: 9789811210297, 978-9811210297
    ISBN10: 9811210292
    Also in:
    Topology

    Description

    Book Synopsis
    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.

    Recently viewed products

    © 2025 Book Curl

      • American Express
      • Apple Pay
      • Diners Club
      • Discover
      • Google Pay
      • Maestro
      • Mastercard
      • PayPal
      • Shop Pay
      • Union Pay
      • Visa

      Login

      Forgot your password?

      Don't have an account yet?
      Create account