Lukas Lewark
Rasmussen's spectral sequences and the sl_N-concordance invariants
Lewark, Lukas
Authors
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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http://creativecommons.org/licenses/by/3.0/
Copyright Statement
© 2014 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/3.0/).
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