An Index Theorem for Odd-Dimensional $\mathbb{Z}/k\mathbb{Z}$-Manifolds

Adnane Elmrabty; Mohamed Maghfoul

doi:10.35834/2020/3202188

Abstract

In this paper, we prove an index formula for $\text{Spin}^{\text{c}}$ Dirac operators on odd-dimensional $\mathbb{Z}/k\mathbb{Z}$-manifolds.

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Adnane Elmrabty. Mohamed Maghfoul. "An Index Theorem for Odd-Dimensional $\mathbb{Z}/k\mathbb{Z}$-Manifolds." Missouri J. Math. Sci. 32 (2) 188 - 198, November 2020. https://doi.org/10.35834/2020/3202188

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Published: November 2020

First available in Project Euclid: 6 November 2020

MathSciNet: MR4171138

Digital Object Identifier: 10.35834/2020/3202188

Subjects:

Primary: 19K56

Secondary: 19K33 , 58J30

Keywords: $\mathbb{Z}/k\mathbb{Z}$-manifold , Direct image , geometric K-homology , Index theorems , spectral flow

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