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arXiv · 1202.0556

Chern-Weil Maslov index and its orbifold analogue

Cheol-Hyun Cho·Hyung-Seok Shin
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Abstract

We give Chern-Weil definitions of the Maslov indices of bundle pairs over a Riemann surface Σwith boundary, which consists of symplectic vector bundle on Σand a Lagrangian subbundle on \partialΣ as well as its generalization for transversely intersecting Lagrangian boundary conditions. We discuss their properties and relations to the known topological definitions. As a main application, we extend Maslov index to the case with orbifold interior singularites, via curvature integral, and find also an analogous topological definition in these cases.

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Cheol-Hyun Cho, Hyung-Seok Shin. 2012-02-02. Chern-Weil Maslov index and its orbifold analogue. https://arxiv.org/abs/1202.0556

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