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Rasmussen's spectral sequences and the sl_N-concordance invariants

Lewark, Lukas

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Authors

Lukas Lewark



Abstract

Combining known spectral sequences with a new spectral sequence relating reduced and unreduced slN-homology yields a relationship between the Homflypt-homology of a knot and its slN-concordance invariants. As an application, some of the slN-concordance invariants are shown to be linearly independent.

Citation

Lewark, L. (2014). Rasmussen's spectral sequences and the sl_N-concordance invariants. Advances in Mathematics, 260, 59-83. https://doi.org/10.1016/j.aim.2014.04.003

Journal Article Type Article
Publication Date Aug 1, 2014
Deposit Date Nov 22, 2013
Publicly Available Date Jun 16, 2014
Journal Advances in Mathematics
Print ISSN 0001-8708
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 260
Pages 59-83
DOI https://doi.org/10.1016/j.aim.2014.04.003
Keywords Knot concordance, Khovanov–Rozansky homologies, Slice genus, Rasmussen invariant, Spectral sequences, Pretzel knots.

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