6 papers · 1 filter
Chromatic Euler characteristics and duality for infinite groups
Gijs Heuts, Irakli Patchkoria
We study a family of generalizations of the notion of Euler characteristic of discrete groups (or of orbifolds, depending on one's perspective) indexed on the natural numbers. For…
A characterization of the spectral Lie operad
Max Blans, Gijs Heuts
In this paper we study the structure of the -category of spectral Lie algebras. We show that this -category admits an interesting symmetric monoidal structure, defi…
On periodic homotopy and homology equivalences of spaces
Shaul Barkan, Gijs Heuts, Yuqing Shi
There are at least two ways to approach the homotopy theory of spaces `at chromatic height ': one may localize with respect to -homology or with respect to -periodic…
Poincaré-Birkhoff-Witt Theorems in Higher Algebra
Omar AntolÃn-Camarena, Lukas Brantner, Gijs Heuts
We extend the classical Poincaré-Birkhoff-Witt theorem to higher algebra by establishing a version that applies to spectral Lie algebras. We deduce this statement from a basic rel…
Koszul duality and a conjecture of Francis-Gaitsgory
Gijs Heuts
Koszul duality is a fundamental correspondence between algebras for an operad and coalgebras for its dual cooperad , built from using the…
Formality of -algebras and cochains on spheres
Gijs Heuts, Markus Land
We study the loop and suspension functors on the category of augmented -algebras. One application is to the formality of the cochain algebra of the -sphere. We sho…