2 papers
math.DG2014
A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings
Alexander Gorokhovsky, Hitoshi Moriyoshi, Paolo Piazza
Let be a finitely generated discrete group satisfying the rapid decay condition. We give a new proof of the higher Atiyah-Patodi-Singer theorem on a Galois -coverings, thus…
math.DG2011
Eta cocycles, relative pairings and the Godbillon-Vey index theorem
Hitoshi Moriyoshi, Paolo Piazza
We prove a Godbillon-Vey index formula for longitudinal Dirac operators on a foliated bundle with boundary; in particular, we define a Godbillon-Vey eta invariant on the boundary-f…