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An index formula for the extended Heisenberg algebra of Epstein, Melrose and Mendoza (1007.3532v2)
Published 20 Jul 2010 in math.FA and math.DG
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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