HMS for punctured tori and categorical mapping class group actions

Details HMS for punctured tori and categorical mapping class group actions HMS for punctured tori and categorical mapping class group actions

2011-11-22

arxiv.org/abs/1111.5284v1

Mathematics

Algebraic Geometry

10 pages. To appear in Proceedings of the String-Math 2011 conference

Scientific paper

Let X_n be a cycle of n projective lines, and T_n a symplectic torus with n
punctures. In this paper we review results appeared in arXiv:1103.2462 and in
arXiv:1109.6615, which establish a version of homological mirror symmetry
relating X_n and T_n, and define on D^b(Coh(X_n)) an action of the pure mapping
class group of T_n.

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