Hitoshi Moriyoshi

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math.DG2014

A note on the higher Atiyah-Patodi-Singer index theorem on Galois coverings

Alexander Gorokhovsky, Hitoshi Moriyoshi, Paolo Piazza

Let $Γ$ 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 $Γ$ -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…