INVESTIGADORES
PODESTA Ricardo Alberto
artículos
Título:
The eta invariant and equivariant bordism of flat manifolds whose holonomy group is cyclic of odd prime order
Autor/es:
PETER B. GILKEY; ROBERTO J. MIATELLO; RICARDO A. PODESTÁ
Revista:
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Editorial:
SPRINGER
Referencias:
Año: 2010 vol. 37 p. 275 - 306
ISSN:
0232-704X
Resumen:
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.
