INV SUPERIOR JUBILADO
MIATELLO Roberto Jorge
artículos
Título:
Eta invariants and equivariant spin bordism of flat manifolds with cyclic holonomy group of odd prime order
Autor/es:
P. GILKEY, R.J. MIATELLO, R.A. PODESTÁ
Revista:
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2010 vol. 37 p. 275 - 306
ISSN:
0232-704X
Resumen:
Abstract. 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.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.
