Multivariable Signatures, Genus Bounds, and 0.5-Solvable Cobordisms

Conway, Anthony and Nagel, Matthias and Toffoli, Enrico (2020) Multivariable Signatures, Genus Bounds, and 0.5-Solvable Cobordisms. MICHIGAN MATHEMATICAL JOURNAL, 69 (2). pp. 381-427. ISSN 0026-2285,

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Abstract

We refine prior bounds on how the multivariable signature and the nullity of a link change under link cobordisms. The formula generalizes a series of results about the 4-genus having their origins in the Murasugi-Tristram inequality, and at the same time extends previously known results about concordance invariance of the signature to a bigger set of allowed variables. Finally, we show that the multivariable signature and nullity are also invariant under 0.5-solvable cobordism.

Item Type: Article
Uncontrolled Keywords: INVARIANTS; CONCORDANCE; MANIFOLDS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Apr 2021 11:26
Last Modified: 06 Apr 2021 11:26
URI: https://pred.uni-regensburg.de/id/eprint/45457

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