We define the secondary invariants L2-eta and -rho forms for families of generalized Dirac operators on normal coverings of fiber bundles. On the covering family we assume transversally smooth spectral projections and NovikovShubin invariants bigger than 3(dim B + 1) to treat the large time asymptotic for the heat operator. In the case of a bundle of spin manifolds, we study the L2-rho class in relation to the space R+(M/B) of positive scalar curvature vertical metrics. © 2011 World Scientific Publishing Company.
L2-RHO form for normal coverings of fiber bundles
Azzali S.
2011-01-01
Abstract
We define the secondary invariants L2-eta and -rho forms for families of generalized Dirac operators on normal coverings of fiber bundles. On the covering family we assume transversally smooth spectral projections and NovikovShubin invariants bigger than 3(dim B + 1) to treat the large time asymptotic for the heat operator. In the case of a bundle of spin manifolds, we study the L2-rho class in relation to the space R+(M/B) of positive scalar curvature vertical metrics. © 2011 World Scientific Publishing Company.File in questo prodotto:
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