Singular fibers and characteristic classes
نویسندگان
چکیده
منابع مشابه
Characteristic Classes and Existence of Singular Maps
The existence of a corank one map of negative codimension puts strong restrictions on the topology of the source manifold. It implies many vanishing theorems on characteristic classes and often even vanishing of the cobordism class of the source manifold. Most of our results lie deeper than just vanishing of Thom polynomials of the higher singularities. We blow up the singular map along the sin...
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The main purpose of this paper is to give a short introduction to the theory of characteristic classes of singular varieties via the conormal geometry approach. Our account is far from being complete and is directed mainly to the students who would like to explore the subject. Thus, instead of giving a long list of statements or an exhaustive historical account our purpose is to present the mai...
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Homology Hirzebruch characteristic classes for singular varieties have been recently defined by Brasselet-Schürmann-Yokura as an attempt to unify previously known characteristic class theories for singular spaces (e.g., MacPherson-Chern classes, BaumFulton-MacPherson Todd classes, and Goresky-MacPherson L-classes, respectively). In this note we define equivariant analogues of these classes for ...
متن کاملCharacteristic Classes
These are lecture notes for a series of five lectures I gave to other graduate students about characteristic classes through UT Austin’s summer minicourse program (see https://www.ma.utexas.edu/users/ richard.wong/Minicourses.html for more details). Beware of potential typos. In these notes I cover the basic theory of Stiefel-Whitney, Wu, Chern, Pontrjagin, and Euler classes, introducing some i...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2007
ISSN: 0166-8641
DOI: 10.1016/j.topol.2007.09.002