Equivariant local index
Takahiko Yoshida
TL;DR
This paper provides an exposition of the equivariant local index, a mathematical tool developed to analyze symmetries in geometric and topological contexts, explaining its foundations and applications.
Contribution
It offers a detailed explanation of the equivariant local index, clarifying its theoretical framework and potential uses in geometry and topology.
Findings
Clarifies the construction of the equivariant local index
Demonstrates applications in geometric analysis
Provides insights into symmetry-related index theory
Abstract
This is an expository article on the equivariant local index developed by Fujita, Furuta, and the author in arXiv:1008.5007.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Geometric and Algebraic Topology