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2022 Augmentations and ruling polynomials for Legendrian graphs
Byung Hee An, Youngjin Bae, Tao Su
Algebr. Geom. Topol. 22(5): 2079-2185 (2022). DOI: 10.2140/agt.2022.22.2079

Abstract

We study and show the equivalence between two Legendrian isotopy invariants associated to a (bordered) Legendrian graph: the augmentation number via point counting over a finite field for the augmentation variety of the associated Chekanov–Eliashberg differential graded algebra, and the ruling polynomial via combinatorics of the decompositions of the associated front projection.

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Byung Hee An. Youngjin Bae. Tao Su. "Augmentations and ruling polynomials for Legendrian graphs." Algebr. Geom. Topol. 22 (5) 2079 - 2185, 2022. https://doi.org/10.2140/agt.2022.22.2079

Information

Received: 31 December 2019; Revised: 15 October 2020; Accepted: 28 March 2021; Published: 2022
First available in Project Euclid: 10 November 2022

Digital Object Identifier: 10.2140/agt.2022.22.2079

Subjects:
Primary: 57R17
Secondary: 05C31 , 57M15

Keywords: augmentation variety , Chekanov–Eliashberg DGA , Legendrian graphs , ruling polynomial

Rights: Copyright © 2022 Mathematical Sciences Publishers

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Vol.22 • No. 5 • 2022
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