Microlocal indices and Chern Classes of Foliations

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.

arXiv commentMinor revision. The results in section 5 are now strengthened