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December 2019 A Cyclic Cocycle and Relative Index Theorems on Partitioned Manifolds
Tatsuki SETO
Tokyo J. Math. 42(2): 431-448 (December 2019). DOI: 10.3836/tjm/1502179288

Abstract

In this paper, we extend Roe's cyclic $1$-cocycle to relative settings. We also prove two relative index theorems for partitioned manifolds by using its cyclic cocycle, which are generalizations of index theorems on partitioned manifolds. One of these theorems is a variant of Theorem 3.3 in “Relative-partitioned index theorem” by M. Karami, A.H.S. Sadegh and M.E. Zadeh.

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Tatsuki SETO. "A Cyclic Cocycle and Relative Index Theorems on Partitioned Manifolds." Tokyo J. Math. 42 (2) 431 - 448, December 2019. https://doi.org/10.3836/tjm/1502179288

Information

Published: December 2019
First available in Project Euclid: 29 October 2018

zbMATH: 07209628
MathSciNet: MR4106587
Digital Object Identifier: 10.3836/tjm/1502179288

Subjects:
Primary: 19K56
Secondary: 46L87

Rights: Copyright © 2019 Publication Committee for the Tokyo Journal of Mathematics

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Vol.42 • No. 2 • December 2019
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