The Eta Invariant and Equivariant Bordism of Flat Manifolds with Cyclic Holonomy Group of Odd Prime Order
نویسندگان
چکیده
We study the eta invariants of compact flat spin manifolds of dimension n with holonomy group Zp, where p is an odd prime. We find explicit expressions for the twisted and relative eta invariants and show that the reduced eta invariant is always an integer, except in a single case, when p = n = 3. We use the expressions obtained to show that any such manifold is trivial in the appropriate reduced equivariant spin bordism group.
منابع مشابه
Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them
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