English

Algebraic models for equivariant rational homotopy theory for discrete groups

Algebraic Topology 2026-04-09 v2 Category Theory

Abstract

We provide a framework which generalizes algebraic models of a homotopy theory of spaces to the genuine equivariant case for a discrete group. We explain how this applies to commutative differential graded algebra (cdga) models and complete differential graded Lie algebra models for rational spaces. We compare the cdga model to other model categories in the literature.

Keywords

Cite

@article{arxiv.2601.17345,
  title  = {Algebraic models for equivariant rational homotopy theory for discrete groups},
  author = {José M. Moreno-Fernández and Bruno Stonek},
  journal= {arXiv preprint arXiv:2601.17345},
  year   = {2026}
}

Comments

17 pages

R2 v1 2026-07-01T09:18:22.137Z