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The categorified Grothendieck-Riemann-Roch theorem (1804.00879v3)
Published 3 Apr 2018 in math.KT, math.AG, math.AT, and math.CT
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.
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