4 papers
A descent view on Mitchell's theorem
Elden Elmanto, Denis Nardin, Lucy Yang
In this short note, we given a new proof of Mitchell's theorem that for . Instead of reducing the problem to delicate representation th…
Cdh descent, cdarc descent, and Milnor excision
Elden Elmanto, Marc Hoyois, Ryomei Iwasa +1
We give necessary and sufficient conditions for a cdh sheaf to satisfy Milnor excision, following ideas of Bhatt and Mathew. Along the way, we show that the cdh infinity-topos of a…
Perfection in motivic homotopy theory
Elden Elmanto, Adeel A. Khan
We prove a topological invariance statement for the Morel-Voevodsky motivic homotopy category, up to inverting exponential characteristics of residue fields. This implies in partic…
Some non-trivial examples of the Baldwin-Ozsváth-Szabó twisted spectral sequence and Heegaard-Floer homology of branched double covers
Elden Elmanto, Igor Kriz
We present some non-trivial calculations of Baldwin-Ozsváth-Szabó cohomology of links, and applications to Heegaard-Floer homology of branched double covers.