A note on Atiyah's $Γ$-index theorem in Heisenberg calculus

Published 17 Jul 2016 in math.DG and math.KT | (1607.04820v2)

Abstract: In this note, we prove an index theorem on Galois covering for Heisenberg elliptic differential operators, which is not elliptic, analogous to Atiyah's $\Gamma$-index theorem. This note also contains an example of Heisenberg differential operators with non-trivial $\Gamma$-index.

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Tatsuki Seto

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