Gijs Heuts

activity

20172019

collaborators

4 papers

math.AT2019

Lie algebra models for unstable homotopy theory

Gijs Heuts

Quillen showed how to describe the homotopy theory of simply-connected rational spaces in terms of differential graded Lie algebras. Here we survey a generalization of Quillen's re…

math.AT2018

A Whitehead theorem for periodic homotopy groups

Tobias Barthel, Gijs Heuts, Lennart Meier

We show that $v_{n}$ -periodic homotopy groups detect homotopy equivalences between simply-connected finite CW-complexes.

math.AT2018

Lie algebras and $v_{n}$ -periodic spaces

Gijs Heuts

We consider a homotopy theory obtained from that of pointed spaces by inverting the maps inducing isomorphisms in $v_{n}$ -periodic homotopy groups. The case n = 0 corresponds to rati…

math.AT2017

Monadicity of the Bousfield-Kuhn functor

Rosona Eldred, Gijs Heuts, Akhil Mathew +1

We consider the localization of the $\infty$ -category of spaces at the $v_{n}$ -periodic equivalences, the case $n = 0$ being rational homotopy theory. We prove that this localization i…

Lie algebra models for unstable homotopy theory

A Whitehead theorem for periodic homotopy groups

Lie algebras and vn​-periodic spaces

Monadicity of the Bousfield-Kuhn functor

Lie algebras and $v_{n}$ -periodic spaces