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Augmentations and
ruling polynomials for Legendrian graphs
Byung Hee An, Youngjin Bae and Tao Su |
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Algebraic & Geometric Topology 22 (2022) 2079–2185
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Abstract |
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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. |
Keywords
Legendrian graphs, Chekanov–Eliashberg DGA, augmentation
variety, ruling polynomial
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Mathematical Subject Classification 2010
Primary: 57R17
Secondary: 05C31, 57M15
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References |
Publication
Received: 31 December 2019
Revised: 15 October 2020
Accepted: 28 March 2021
Published: 25 October 2022
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Authors |
| Byung Hee An | |
| Department of Mathematics
Education Teachers College Kyungpook National University Daegu South Korea |
Center for Geometry and
Physics Institute for Basic Science Pohang Sout Korea |
| https://geometry.knu.ac.kr/~anbyhee | |
| Youngjin Bae | |
| Department of Mathematics Incheon National University Incheon South Korea |
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| Tao Su | |
| Department of Mathematics École Normale Supérieure Paris France |
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