Abstract
We define the Simons–Sullivan differential analytic index by translating the Freed–Lott differential analytic index via explicit ring isomorphisms between Freed–Lott differential K-theory and Simons–Sullivan differential K-theory. We prove the differential Grothendieck–Riemann–Roch theorem in Simons–Sullivan differential K-theory using a theorem of Bismut.
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This article dedicated to my father Kar-Ming Ho.
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Ho, MH. The differential analytic index in Simons–Sullivan differential K-theory. Ann Glob Anal Geom 42, 523–535 (2012). https://doi.org/10.1007/s10455-012-9325-1
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DOI: https://doi.org/10.1007/s10455-012-9325-1