A note on mapping class group actions on derived categories

2011/09/29 by Nicolò Sibilla, Sibilla, Nicolò · 1 citation
Mathematics · #14F05 #57M60 #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.AG #math.GT #math.SG #msc:14F05 #msc:57M60

paper · pdf · doi:10.48550/arxiv.1109.6615

12 pages, 2 figures. To appear in Proc. Amer. Math. Soc

arxiv created 2012/09/26 · arxiv updated 2012/09/27

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 .

Citations

• Ribbon Graphs and Mirror Symmetry I

Cited by

• HMS for punctured tori and categorical mapping class group actions

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