Chern-Weil Maslov index and its orbifold analogue

Details Chern-Weil Maslov index and its orbifold analogue Chern-Weil Maslov index and its orbifold analogue

2012-02-02

arxiv.org/abs/1202.0556v1

Mathematics

Symplectic Geometry

19 pages

Scientific paper

We give Chern-Weil definitions of the Maslov indices of bundle pairs over a Riemann surface \Sigma with boundary, which consists of symplectic vector bundle on \Sigma and a Lagrangian subbundle on \partial{\Sigma} 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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