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Slice genus bound in
$DTS^2$ from $s$–invariant
Qiuyu Ren |
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Algebraic & Geometric Topology 24 (2024) 4115–4125
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Abstract |
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We prove a recent conjecture of Manolescu and Willis which states that the –invariant of a knot in (as defined by them) gives a lower bound on its null-homologous slice genus in the unit disk bundle of . We also conjecture a lower bound in the more general case where the slice surface is not necessarily null-homologous, and give its proof in some special cases. |
Keywords
Khovanov homology, slice genus, $s$–invariant,
$\mathbb{RP}^3$
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Mathematical Subject Classification
Primary: 57K18
Secondary: 57K10, 57K40
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References |
Publication
Received: 3 July 2023
Revised: 9 October 2023
Accepted: 13 November 2023
Published: 9 December 2024
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Authors |
| Qiuyu Ren | |
| Department of Mathematics University of California, Berkeley Berkeley, CA United States |
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| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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