273 citations · 767 across the 23 of their papers we have counts for
26 papers
The universal coCartesian fibration
Denis-Charles Cisinski, Hoang Kim Nguyen
We give a new proof of the straightening/unstraightening correspondence by proving a generalization of the univalence property of the universal coCartesian fibration.
Étale tame vanishing cycles over
Denis-Charles Cisinski, Massimo Pippi
We develop a theory of tame vanishing cycles for schemes over in the context of étale sheaves. We show some desired properties of this formali…
Controlled objects in left-exact -categories and the Novikov conjecture
Ulrich Bunke, Denis-Charles Cisinski, Daniel Kasprowski +1
We associate to every -bornological coarse space and every left-exact -category with -action a left-exact infinity-category of equivariant -controlled objects.…
Cohomological Methods in Intersection Theory
Denis-Charles Cisinski
These notes are an account of a series of lectures I gave at the LMS-CMI Research School `Homotopy Theory and Arithmetic Geometry: Motivic and Diophantine Aspects', in July 2018, a…
A universal coarse K-theory
Ulrich Bunke, Denis-Charles Cisinski
In this paper, we construct an equivariant coarse homology theory with values in the category of non-commutative motives of Blumberg, Gepner and Tabuada, with coefficients in any s…
A^1-homotopy invariance in spectral algebraic geometry
Denis-Charles Cisinski, Adeel A. Khan
We study two different flavours of A^1-homotopy theory in the setting of spectral algebraic geometry, and compare them to classical A^1-homotopy theory. As an application we show t…