Chern-Weil Maslov index and its orbifold analogue

Cheol-Hyun Cho Hyung-Seok Shin

Symplectic Geometry mathscidoc:1912.43241

arXiv preprint arXiv:1202.0556, 2012.2
We give Chern-Weil definitions of the Maslov indices of bundle pairs over a Riemann surface with boundary, which consists of symplectic vector bundle on and a Lagrangian subbundle on\partial 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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@inproceedings{cheol-hyun2012chern-weil,
  title={Chern-Weil Maslov index and its orbifold analogue},
  author={Cheol-Hyun Cho, and Hyung-Seok Shin},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113136126459801},
  booktitle={arXiv preprint arXiv:1202.0556},
  year={2012},
}
Cheol-Hyun Cho, and Hyung-Seok Shin. Chern-Weil Maslov index and its orbifold analogue. 2012. In arXiv preprint arXiv:1202.0556. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113136126459801.
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