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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 x1D6F4 via the topological Fukaya category. We prove that the topological Fukaya category of x1D6F4 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.
Pascaleff et al. (Fri,) studied this question.
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