Singularities and Characteristic Classes for Differentiable Maps

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 com...

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Bibliographic Details
Published in:arXiv.org 2014-01
Main Author: Ohmoto, Toru
Format: Article
Language:English
Subjects:
Polynomials
Singularities
Topology
Online Access:Get full text
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Summary: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.
ISSN:2331-8422