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).
|Number of pages||17|
|Journal||Journal of the Mathematical Society of Japan|
|Publication status||Published - 2014|
- Equivariant index
- Spin structure
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