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On the index of maximally hypoelliptic differential operators (2201.13049v2)
Published 31 Jan 2022 in math.KT, math.AP, math.DG, math.FA, and math.OA
Abstract: We give an index formula for the class of all *-maximally hypoelliptic differential operators on any closed manifold with vector bundle coefficients, generalising previous index formulas by Atiyah-Singer and van Erp. Using this formula, we give new explicit index computations for Hormander's sum of squares operators of arbitrary rank.
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