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Knot theory/ Vassily Manturov

By: Publication details: Boca Raton: CRC Press, 2018Edition: 2ndDescription: xix,559 pages 24.5 cmISBN:
  • 9781138561243
Subject(s): DDC classification:
  • 23 514.2242 M291
Contents:
Knots links and invariant polynomials -- Theory of braids -- Vassiliev's invariants atoms and d-diagrams -- Virtual knots -- Knots 3-manifolds and legendrian knots -- A Energy of a knot -- B The A-polynomial -- C Garside's normal form -- D Unsolved problems in knot theory
Summary: Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata NBHM Collection 514.2242 M291 (Browse shelf(Opens below)) Available 138635
Total holds: 0

Includes bibliography and index

Knots links and invariant polynomials -- Theory of braids -- Vassiliev's invariants atoms and d-diagrams -- Virtual knots -- Knots 3-manifolds and legendrian knots -- A Energy of a knot -- B The A-polynomial -- C Garside's normal form -- D Unsolved problems in knot theory

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.

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