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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 algebra. 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 the Second Edition; discusses Heegaard-Floer homology theory and A-polynomial of classical links. Updates throughout the book.
Vassily Olegovich Manturov is professor of Geometry and Topology at Bauman Moscow State Technical University.
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