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 $R(G)/RO(G)$.
Citation
Mikio FURUTA. Yukio KAMETANI. "Equivariant version of Rochlin-type congruences." J. Math. Soc. Japan 66 (1) 205 - 221, January, 2014. https://doi.org/10.2969/jmsj/06610205
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