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arXiv · 1007.3532

An index formula for the extended Heisenberg algebra of Epstein, Melrose and Mendoza

Erik van Erp
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Abstract

The extended Heisenberg algebra for a contact manifold has a symbolic calculus that accommodates both Heisenberg pseudodifferential operators as well as classical pseudodifferential operators. We derive here a formula for the index of Fredholm operators in this extended calculus. This formula incorporates in a single expression the Atiyah-Singer formula for elliptic operators, as well as Boutet de Monvel's Toeplitz index formula.

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Erik van Erp. 2010-07-20. An index formula for the extended Heisenberg algebra of Epstein, Melrose and Mendoza. https://arxiv.org/abs/1007.3532

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