E2 formality via obstruction theory
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914595119038464 |
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| author | Horel, Geoffroy |
| author_facet | Horel, Geoffroy |
| contents | We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As a consequence we prove E_2-formality of the classifying space of some compact Lie group or of Davis-Januszkiewicz spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16236 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | E2 formality via obstruction theory Horel, Geoffroy Algebraic Topology We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As a consequence we prove E_2-formality of the classifying space of some compact Lie group or of Davis-Januszkiewicz spaces. |
| title | E2 formality via obstruction theory |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2407.16236 |