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

Man Ho Ho

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

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

Man Ho Ho^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

4 Citations (Scopus)

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 ℝ/ℤ analytic index is well defined and a condensed proof of the ℝ/ℤ Grothendieck-Riemann-Roch theorem.

Original language	English
Pages (from-to)	1973-1982
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9939-2014-11948-4
Publication status	Published - 1 Jun 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 ℝ/ℤ analytic index is well defined and a condensed proof of the ℝ/ℤ Grothendieck-Riemann-Roch theorem.",

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AB - 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 ℝ/ℤ analytic index is well defined and a condensed proof of the ℝ/ℤ Grothendieck-Riemann-Roch theorem.

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

Abstract

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