A condensed proof of the differential Grothendieck–Riemann–Roch theorem

Ho, Man-Ho

doi:10.1090/S0002-9939-2014-11948-4

A condensed proof of the differential Grothendieck–Riemann–Roch theorem
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by Man-Ho Ho

Proc. Amer. Math. Soc. 142 (2014), 1973-1982

DOI: https://doi.org/10.1090/S0002-9939-2014-11948-4

Published electronically: March 12, 2014

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Abstract:

We give a direct proof that the Freed–Lott differential analytic index is well defined and a condensed proof of the differential Grothendieck–Riemann–Roch theorem. As a byproduct we also obtain a direct proof that the $\mathbb {R}/\mathbb {Z}$ analytic index is well defined and a condensed proof of the $\mathbb {R}/\mathbb {Z}$ Grothendieck–Riemann–Roch theorem.

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