HMS,用于穿孔圆环和分类映射类群操作
HMS for punctured tori and categorical mapping class group actions
摘要:
设X_n为n条射影线的圈,T_n为具有n个穿孔的辛环面.本文回顾了arXiv:1103.2462和arXiv:1109.6615中的一些结果,这些结果建立了X_n和T_n之间的同调镜像对称,并在D^b(Coh(X_n))上定义了T_n的纯映射类群的作用量.
英文摘要:
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.
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