A note on mapping class group actions on derived categories
Abstract
Let Xn be a cycle of n projective lines, and n a symplectic torus with n punctures. Using the theory of spherical twists introduced by Seidel and Thomas (2001), I will define an action of the pure mapping class group of n on Db(Coh(Xn)). The motivation comes from homological mirror symmetry for degenerate elliptic curves, which was studied by the author with Treumann and Zaslow in arXiv:1103.2462 .
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