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Local Index Theory for the Rarita-Schwinger Operator
Published 6 Feb 2024 in math.DG | (2402.04430v1)
Abstract: We prove the local index theorem for the Rarita-Schwinger operator and higher Dirac operators using Gilkey's invariance theory. That is, we show that the supertrace of the heat kernel of a given geometric operator converges as time goes to zero, and identifies the limit as the Chern-Weil form of the Atiyah-Singer integrand.
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