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arXiv · 1109.6615

A note on mapping class group actions on derived categories

Nicolò Sibilla
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Abstract

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 (2001), 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 arXiv:1103.2462 .

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Nicolò Sibilla. 2012-09-26. A note on mapping class group actions on derived categories. https://arxiv.org/abs/1109.6615

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