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2021 Annular Link Invariants from the Sarkar–Seed–Szabó Spectral Sequence
Linh Truong, Melissa Zhang
Michigan Math. J. Advance Publication 1-39 (2021). DOI: 10.1307/mmj/20205862

Abstract

For a link in a thickened annulus A×I, we define a ZZZ filtration on Sarkar–Seed–Szabó’s perturbation of the geometric spectral sequence. The filtered chain homotopy type is an invariant of the isotopy class of the annular link. From this, we define a two-dimensional family of annular link invariants and study their behavior under cobordisms. In the case of annular links obtained from braid closures, we obtain a necessary condition for braid quasi-positivity and a sufficient condition for right-veeringness, as well as Bennequin-type inequalities.

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Linh Truong. Melissa Zhang. "Annular Link Invariants from the Sarkar–Seed–Szabó Spectral Sequence." Michigan Math. J. Advance Publication 1 - 39, 2021. https://doi.org/10.1307/mmj/20205862

Information

Received: 27 January 2020; Revised: 5 October 2020; Published: 2021
First available in Project Euclid: 12 August 2021

Digital Object Identifier: 10.1307/mmj/20205862

Subjects:
Primary: 57K18
Secondary: 57K10

Rights: Copyright © 2021 The University of Michigan

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