On symmetries of peculiar modules, or δ-graded link Floer homology is mutation invariant

Zibrowius, Claudius (2023) On symmetries of peculiar modules, or δ-graded link Floer homology is mutation invariant. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 25 (8). pp. 2949-3006. ISSN 1435-9855

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Abstract

We investigate symmetry properties of peculiar modules, a Heegaard Floer invariant of 4-ended tangles which the author introduced in [J. Topol. 13 (2020)]. In particular, we give an almost complete answer to the geography problem for components of peculiar modules of tangles. As a main application, we show that Conway mutation preserves the hat flavour of the relatively 8-graded Heegaard Floer theory of links.

Item Type: Article
Uncontrolled Keywords: KHOVANOV HOMOLOGY; Conway mutation; knot Floer homology; Conway tangles; symmetries
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 22 Feb 2024 07:09
Last Modified: 22 Feb 2024 07:09
URI: https://pred.uni-regensburg.de/id/eprint/58994

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