The categorified Grothendieck-Riemann-Roch theorem

Marc Hoyois, Pavel Safronov, Sarah Scherotzke, Nicolò Sibilla

Research output: Working paper

Abstract

In this paper we prove a categorification of the Grothendieck-Riemann-Roch theorem. Our result implies in particular a Grothendieck-Riemann-Roch theorem for To\"en and Vezzosi's secondary Chern character. As a main application, we establish a comparison between the To\"en-Vezzosi Chern character and the classical Chern character, and show that the categorified Chern character recovers the classical de Rham realization.
Original languageEnglish
PublisherArXiv
Number of pages50
Publication statusPublished - 17 Sep 2020

Keywords

  • math.KT
  • math.AG
  • math.AT
  • math.CT

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