The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques

Man Ho HO

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper we give a simplified proof of the flat Grothendieck–Riemann–Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern–Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.

Original languageEnglish
Pages (from-to)162-174
Number of pages13
JournalJournal of Geometry and Physics
Volume107
DOIs
Publication statusPublished - 1 Sep 2016

Scopus Subject Areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

User-Defined Keywords

  • Eta form
  • Flat K-theory
  • Grothendieck–Riemann–Roch theorem

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