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Topological Fukaya category and mirror symmetry for punctured surfaces

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)

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
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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