# MathSciDoc: An Archive for Mathematician ∫

#### Symplectic Geometrymathscidoc: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.
@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.