The differential analytic index in Simons-Sullivan differential K-theory

Man-Ho Ho*

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

5 Citations (Scopus)
25 Downloads (Pure)

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.

Original languageEnglish
Pages (from-to)523-535
Number of pages13
JournalAnnals of Global Analysis and Geometry
Volume42
Issue number4
Early online date20 Apr 2012
DOIs
Publication statusPublished - Dec 2012

User-Defined Keywords

  • Differential characters
  • Differential K-theory
  • Index theory

Fingerprint

Dive into the research topics of 'The differential analytic index in Simons-Sullivan differential K-theory'. Together they form a unique fingerprint.

Cite this