A note on mapping class group actions on derived categories

Details A note on mapping class group actions on derived categories A note on mapping class group actions on derived categories

2011-09-29

arxiv.org/abs/1109.6615v1

Mathematics

Algebraic Geometry

10 pages. Comments welcome!

Scientific paper

Let $X_n$ be a cycle of $n$ projective lines, and $\bT_n$ a symplectic torus with $n$ punctures. Using the theory of spherical twists introduced by Seidel and Thomas \cite{ST}, I will define an action of the pure mapping class group of $\bT_n$ on $D^b(Coh(X_n))$. The motivation comes from homological mirror symmetry for degenerate elliptic curves, which was studied by the author with Treumann and Zaslow in \cite{STZ}.

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