2011/12/09 by A. S. Mishchenko, Mishchenko, A. S., Quitzeh Morales Meléndez +1
Mathematics · #19L47 #55R91 #57S25 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.1112.2104
openalex publication_date 2011/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work the equivariant signature of a manifold with proper action of a discrete group is defined as an invariant of equivariant bordisms. It is shown that the computation of this signature can be reduced to its computation on fixed points sets equipped with their tubular neighborhoods. It is given a description of the equivariant vector bundles with action of a discrete group G for the case when the action over the base is proper quasi-free, i.e. the stationary subgroup of any point is finite. The description is given in terms of some classifying space.