Singularities and Characteristic Classes for Differentiable Maps
Algebraic Geometry
2017-08-17 v3 Algebraic Topology
Abstract
This is a note on my mini-course in the International Workshop on Real and Complex Singularities held at ICMC-USP (Sao Carlos, Brazil) in July 2012. Here we introduce a new branch of the Thom polynomial theory for singularities of holomorphic maps, in which we replace counting singular points by computing weighted Euler characteristics. The main purpose is to apply this theory to the study on the vanishing topology of weighted homogeneous map-germs of finite A-codimension without any corank condition.
Cite
@article{arxiv.1309.0661,
title = {Singularities and Characteristic Classes for Differentiable Maps},
author = {Toru Ohmoto},
journal= {arXiv preprint arXiv:1309.0661},
year = {2017}
}
Comments
64 pages, 10 figures: Title has been changed (the new one is "Singularities of maps and characteristic classes"). Many typo have been fixed. To appear in Proc. of Real and Complex Singularities 2012