Equivariant version of Rochlin-type congruences

Mikio Furuta; Yukio Kametani

doi:10.2969/jmsj/06610205

Equivariant version of Rochlin-type congruences

Mikio Furuta, Yukio Kametani

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

W. Zhang showed a higher dimensional version of Rochlin congruence for 8k+4-dimensional manifolds. We give an equivariant version of Zhang's theorem for 8k+4-dimensional compact Spin^c-G-manifolds with spin boundary, where we define equivariant indices with values in R(G)/RSp(G). We also give a similar congruence relation for 8k-dimensional compact Spin^c- G-manifolds with spin boundary, where we define equivariant indices with values in R(G)/RO(G).

Original language	English
Pages (from-to)	205-221
Number of pages	17
Journal	Journal of the Mathematical Society of Japan
Volume	66
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/06610205
Publication status	Published - 2014

Keywords

Equivariant index
Spin structure

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06610205

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abstract = "W. Zhang showed a higher dimensional version of Rochlin congruence for 8k+4-dimensional manifolds. We give an equivariant version of Zhang's theorem for 8k+4-dimensional compact Spinc-G-manifolds with spin boundary, where we define equivariant indices with values in R(G)/RSp(G). We also give a similar congruence relation for 8k-dimensional compact Spinc- G-manifolds with spin boundary, where we define equivariant indices with values in R(G)/RO(G).",

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author = "Mikio Furuta and Yukio Kametani",

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AU - Kametani, Yukio

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AB - W. Zhang showed a higher dimensional version of Rochlin congruence for 8k+4-dimensional manifolds. We give an equivariant version of Zhang's theorem for 8k+4-dimensional compact Spinc-G-manifolds with spin boundary, where we define equivariant indices with values in R(G)/RSp(G). We also give a similar congruence relation for 8k-dimensional compact Spinc- G-manifolds with spin boundary, where we define equivariant indices with values in R(G)/RO(G).

KW - Equivariant index

KW - Spin structure

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Equivariant version of Rochlin-type congruences

Abstract

Keywords

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