CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order
Autor/es:
RICARDO A. PODESTÁ
Lugar:
Santiago de Compostela / A Coruña
Reunión:
Congreso; Conference in Geometry and Global Analysis: celebrating Peter Gilkey's 65th birthday; 2010
Institución organizadora:
Universidad de Santiago de Comnpostela
Resumen:
In this joint work with Peter Gilkey and Roberto Miatello we study the eta invariants of compact at spin manifolds of odd dimension n with holonomy group Zp, where p is an odd prime, for twisted Dirac operators. By using certain trigonometric products and some modi ed Gauss sums, we nd explicit expressions for `(s), in terms of di erences of Hurwitz zeta functions, and for the twisted eta invariant in terms of Legendre symbols. As a result, we show that the reduced eta invariant is always an integer, except in the single case p = n = 3. We use the expressions obtained to show that any such manifold is trivial in the appropriate reduced equivariant spin bordism group.
