TY - GEN AU - Manturov,Vassily TI - Knot theory SN - 9781138561243 U1 - 514.2242 23 PY - 2018/// CY - Boca Raton PB - CRC Press KW - Mathematics KW - Knot Theory KW - Algebraic Topology N1 - 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 N2 - 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 ER -