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math.KT2018
The categorified Grothendieck-Riemann-Roch theorem
Marc Hoyois, Pavel Safronov, Sarah Scherotzke +1
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 seco…
math.KT2015
Higher traces, noncommutative motives, and the categorified Chern character
Marc Hoyois, Sarah Scherotzke, Nicolò Sibilla
We propose a categorification of the Chern character that refines earlier work of Toën and Vezzosi and of Ganter and Kapranov. If X is an algebraic stack, our categorified Chern ch…