Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8917
Title: An Excursion in Chern Groups
Authors: SPALLONE, STEVEN
DATTA, SUTIRTHA
Dept. of Mathematics
20226606
Keywords: Algebraic Topology
Characteristic Classes
Topological K Theory
Issue Date: May-2024
Citation: 34
Abstract: We start with a manifold B. In this project, we are interested in figuring out the multiplicative group generated by the total Chern Classes of all complex vector bundles over B. We call it the "Chern Group" of B and denote it by C(B). We describe these groups for familiar spaces, for example, spheres & tori. We will also inspect the analogous subgroup W(B), generated by the total Stiefel-Whitney Classes.
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8917
Appears in Collections:MS THESES

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