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Centro de Ciencias Matemáticas UNAM

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Analytical signatures and proper actions

Abstract:

We compare Mishchenko's definition of non-commutative signature for an oriented manifold with an orientation preserving proper action of a discrete, countable group G with the (more analytical) counterpart defined by Higson and Roe in the series of articles "Mapping surgery to analysis". A generalization of the bordism invariance of the coarse index is also addressed.
Keywords: Bordism Invariance; Coarse index; Hilbert-Poincare Complexes
Journal: Topological Methods in Nonlinear Analysis
ISSN: 1230-3429
Year: 2021
Volume: 57
Number: 1
Pages: 1-23
MR Number: 4303025
Revision: 1
Notas: Web of Science: Q3 Factor de Impacto 0.853 (Polonia) Scimago Journal Reports: Q2 Factor de Impacto Q2 0.62
Created Created: 2021-04-07 15:55:33
Modified Modified: 2021-11-17 18:22:10
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