Algebraic models for equivariant rational homotopy theory for discrete groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915922951798784 |
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| author | Moreno-Fernández, José M. Stonek, Bruno |
| author_facet | Moreno-Fernández, José M. Stonek, Bruno |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17345 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Algebraic models for equivariant rational homotopy theory for discrete groups Moreno-Fernández, José M. Stonek, Bruno Algebraic Topology Category Theory 55P62, 55P91, 18N40 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. |
| title | Algebraic models for equivariant rational homotopy theory for discrete groups |
| topic | Algebraic Topology Category Theory 55P62, 55P91, 18N40 |
| url | https://arxiv.org/abs/2601.17345 |