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arXiv · 1207.4246

Seidel Representation for Symplectic Orbifolds

Hsian-Hua Tseng·Dongning Wang
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Abstract

Let $(\X,\omega)$ be a compact symplectic orbifold. We define $\pi_1(Ham(\X, \omega))$, the fundamental group of the 2-group of Hamiltonian diffeomorphisms of $(\X, \omega)$, and construct a group homomorphism from $\pi_1(Ham(\X, \omega))$ to the group $QH_{orb}^*(\X,\Lambda)^{\times}$ of multiplicatively invertible elements in the orbifold quantum cohomology ring of $(\X, \omega)$. This extends the Seidel representation ([Se], [M]) to symplectic orbifolds.

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Hsian-Hua Tseng, Dongning Wang. 2012-07-18. Seidel Representation for Symplectic Orbifolds. https://arxiv.org/abs/1207.4246

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