Khovanov homology of graph-links

Khovanov homology of graph-links

Graph-links arise as the intersection graphs of turning chord diagrams of links. Speaking informally, graph-links provide a combinatorial description of links up to mutations. Many link invariants can be reformulated in the language of graph-links. Khovanov homology, a well-known and useful knot inv...

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Veröffentlicht in:Sbornik. Mathematics 2012-08, Vol.203 (8), p.1196-1210
1. Verfasser: Nikonov, Igor M
Format: Artikel
Sprache:eng
Schlagworte:
DIAGRAMS
GRAPH THEORY
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL SOLUTIONS
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Zusammenfassung:Graph-links arise as the intersection graphs of turning chord diagrams of links. Speaking informally, graph-links provide a combinatorial description of links up to mutations. Many link invariants can be reformulated in the language of graph-links. Khovanov homology, a well-known and useful knot invariant, is defined for graph-links in this paper (in the case of the ground field of characteristic two). Bibliography: 14 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM2012v203n08ABEH004260