The Eta Invariant and the Equivariant Spin Bordism of Spherical Space Form 2 Groups
نویسنده
چکیده
We use the eta invariant to compute the equivariant spin bor-dism groups spin 5
منابع مشابه
The Eta Invariant and Equivariant Bordism of Flat Manifolds with Cyclic Holonomy Group of Odd Prime Order
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 reduc...
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The connective K-theory groups ko∗(Bπ) of a group π appear in many contexts; for example, they are the building blocks for equivariant spin bordism at the prime 2. They also play an important role in the Gromov–Lawson–Rosenberg conjecture which was the starting point of our original investigation [5]. The second author first studied the eta invariant, which is an analytic invariant, whilst a gr...
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