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arXiv · 1607.04820

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

Tatsuki Seto
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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. 2016-07-17. A note on Atiyah's $\Gamma$-index theorem in Heisenberg calculus. https://arxiv.org/abs/1607.04820

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