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Localization in Khovanov
homology
Matthew Stoffregen and Melissa Zhang |
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Geometry & Topology 28 (2024) 1501–1585
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Abstract |
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We construct equivariant Khovanov spectra for periodic links using the Burnside functor construction introduced by Lawson, Lipshitz, and Sarkar. By identifying the fixed-point sets, we obtain rank inequalities for odd and even Khovanov homologies, and their annular filtrations, for prime-periodic links in . |
Keywords
Khovanov homology, periodic links, Smith inequality,
localization, equivariant stable homotopy theory,
Lipshitz–Sarkar Khovanov stable homotopy type, annular
Khovanov homology, equivariant spectra, spectral sequence,
low-dimensional topology, knot theory, odd Khovanov
homology
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Mathematical Subject Classification 2010
Primary: 57M25
Secondary: 55P91
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References |
Publication
Received: 18 February 2019
Revised: 13 July 2022
Accepted: 24 September 2022
Published: 18 July 2024
Proposed: András I Stipsicz
Seconded: Ciprian Manolescu, Ian Agol
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Authors |
| Matthew Stoffregen | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Melissa Zhang | |
| Department of Mathematics University of California, Davis Davis, CA United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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