Pascaleff, James, Sibilla, Nicolo (2019) Topological Fukaya category and mirror symmetry for punctured surfaces. Compositio Mathematica, 15 (3). pp. 599-644. ISSN 0010-437X. (doi:10.1112/S0010437X19007073) (KAR id:70174)
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Official URL: https://doi.org/10.1112/S0010437X19007073 |
Abstract
In this paper we establish a version of homological mirror symmetry for punctured
Riemann surfaces. Following a proposal of Kontsevich we model A-branes on a punctured
surface ? via the topological Fukaya category. We prove that the topological Fukaya
category of ? is equivalent to the category of matrix factorizations of a certain mirror LG
model (X, W). Along the way we establish new gluing results for the topological Fukaya
category of punctured surfaces which are of independent interest.
Item Type: | Article |
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DOI/Identification number: | 10.1112/S0010437X19007073 |
Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Nicolo Sibilla |
Date Deposited: | 19 Nov 2018 09:47 UTC |
Last Modified: | 09 Dec 2022 06:30 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/70174 (The current URI for this page, for reference purposes) |
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