HMS for punctured tori and categorical mapping class group actions
Algebraic Geometry
2011-11-24 v1 Geometric Topology
Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1111.5284,
title = {HMS for punctured tori and categorical mapping class group actions},
author = {Nicolo` Sibilla},
journal= {arXiv preprint arXiv:1111.5284},
year = {2011}
}
Comments
10 pages. To appear in Proceedings of the String-Math 2011 conference