Turaev genus, knot signature, and the knot homology concordance invariants

We give bounds on knot signature, the Ozsváth-Szabó т invariant, and the Rasmussen s invariant in terms of the Turaev genus of the knot.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2011-07, Vol.139 (7), p.2631-2645
Main Authors: DASBACH, OLIVER T., LOWRANCE, ADAM M.
Format: Article
Language:English
Subjects:
Checkerboards
Cubes
Exact sciences and technology
General mathematics
General, history and biography
Manifolds and cell complexes
Mathematical complements
Mathematical surfaces
Mathematical theorems
Mathematics
Polynomials
Sciences and techniques of general use
Signatures
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Vector spaces
Vertices
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Description
Summary:We give bounds on knot signature, the Ozsváth-Szabó т invariant, and the Rasmussen s invariant in terms of the Turaev genus of the knot.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2010-10698-6