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The categorified Grothendieck–Riemann–Roch theorem
Published online by Cambridge University Press: 15 February 2021
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 Toën and Vezzosi's secondary Chern character. As a main application, we establish a comparison between the Toën–Vezzosi Chern character and the classical Chern character, and show that the categorified Chern character recovers the classical de Rham realization.
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- © The Author(s) 2021
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