Microlocal indices and Chern Classes of Foliations
Algebraic Geometry
2026-02-16 v3 Complex Variables
Geometric Topology
Abstract
In this paper, we study how global index formulas arise in the theory of one-dimensional holomorphic foliation from the microlocal point of view. We give short proofs and generalizations to a few exisiting index formulas concerning Schwartz, GSV and logarithmic indices.
Cite
@article{arxiv.2512.13126,
title = {Microlocal indices and Chern Classes of Foliations},
author = {Xia Liao and Xiping Zhang},
journal= {arXiv preprint arXiv:2512.13126},
year = {2026}
}
Comments
Minor revision. The results in section 5 are now strengthened