133 citations · 504 across the 25 of their papers we have counts for
7 papers · 1 filter
Remarks on étale motivic stable homotopy theory
Tom Bachmann, Marc Hoyois
We strengthen some results in étale (and real étale) motivic stable homotopy theory, by eliminating finiteness hypotheses, additional localizations and/or extending to spectra from…
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…
Vanishing theorems for the negative K-theory of stacks
Marc Hoyois, Amalendu Krishna
We prove that the homotopy algebraic K-theory of tame quasi-DM stacks satisfies cdh-descent. We apply this descent result to prove that if X is a Noetherian tame quasi-DM stack and…
Categorifying rationalization
Clark Barwick, Saul Glasman, Marc Hoyois +2
We solve a problem proposed by Khovanov by constructing, for any set of primes , a triangulated category (in fact a stable -category) whose Grothendieck group is $S^{-1}…
Cdh descent in equivariant homotopy K-theory
Marc Hoyois
We construct geometric models for classifying spaces of linear algebraic groups in G-equivariant motivic homotopy theory, where G is a tame group scheme. As a consequence, we show…
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…
The homotopy fixed points of the circle action on Hochschild homology
Marc Hoyois
We show that Connes' B-operator on a cyclic differential graded k-module M is a model for the canonical circle action on the geometric realization of M. This implies that the negat…