Augmentations and ruling polynomials for Legendrian graphs

Autor:	An, Byung Hee, Bae, Youngjin, Su, Tao
Rok vydání:	2019
Předmět:	Mathematics - Symplectic Geometry Mathematics - Geometric Topology Primary: 57R17 Secondary: 57M15 05C31
Zdroj:	Algebr. Geom. Topol. 22 (2022) 2079-2185
Druh dokumentu:	Working Paper
DOI:	10.2140/agt.2022.22.2079
Popis:	In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence between two Legendrian isotopy invariants: augmentation number via point-counting over a finite field, for the augmentation variety of the associated Chekanov-Eliashberg differential graded algebra, and ruling polynomial via combinatorics of the decompositions of the associated front projection. Comment: 67 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.11563 Zobrazit plný text záznamu View this record from Arxiv