The categorified Grothendieck-Riemann-Roch theorem

Autor: Pavel Safronov, Nicolò Sibilla, Marc Hoyois, Sarah Scherotzke

Publikováno v: Hoyois, M, Safronov, P, Scherotzke, S & Sibilla, N 2021, ' The categorified Grothendieck-Riemann-Roch theorem ', Compositio Mathematica, vol. 157, no. 1, pp. 154-214 . https://doi.org/10.1112/S0010437X20007642
Compositio Mathematica

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 compari

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57c32f66081c7120f218282fd89bf72b
http://hdl.handle.net/20.500.11767/128270

Quantum Groups and Noncommutative Spaces : Perspectives on Quantum Geometry

Autor: Matilde Marcolli, Deepak Parashar

This book is aimed at presenting different methods and perspectives in the theory of Quantum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Nonc