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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.03967 |
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| _version_ | 1866912413027139584 |
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| author | Daza, Sebastián Mestre, João Nuno |
| author_facet | Daza, Sebastián Mestre, João Nuno |
| contents | We use homotopy operators for the $L_\infty$-algebra associated with an equivariant deformation problem in order to describe a smooth parametrization of the space of structures around a given one. Along the way we give new algebraic and explicit proofs of rigidity and unobstructedness theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_03967 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant deformation problems and homotopy operators Daza, Sebastián Mestre, João Nuno Differential Geometry Rings and Algebras 16E45, 58H15 We use homotopy operators for the $L_\infty$-algebra associated with an equivariant deformation problem in order to describe a smooth parametrization of the space of structures around a given one. Along the way we give new algebraic and explicit proofs of rigidity and unobstructedness theorems. |
| title | Equivariant deformation problems and homotopy operators |
| topic | Differential Geometry Rings and Algebras 16E45, 58H15 |
| url | https://arxiv.org/abs/2506.03967 |