3 years ago

The categorified Grothendieck-Riemann-Roch theorem.

Marc Hoyois, Pavel Safronov, Sarah Scherotzke, Nicolò Sibilla

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.

Publisher URL: http://arxiv.org/abs/1804.00879

DOI: arXiv:1804.00879v2

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