Operadic Deformation Theory
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909076350304256 |
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| author | Campos, Ricardo Grataloup, Albin |
| author_facet | Campos, Ricardo Grataloup, Albin |
| contents | This is a survey on recent progress in algebraic deformation theory and the application of algebraic operads to its study. We review the classical homotopical tools in the theory of algebraic operads, namely Koszul duality. We give concrete examples of applications of such tools to various flavours of problems related to deformations of algebraic structures. We also study formal moduli problems and related notions from the operadic point of view. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11187 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Operadic Deformation Theory Campos, Ricardo Grataloup, Albin Algebraic Topology Quantum Algebra 18M70, 18N40, 18N50, 18N60, 22E60, 55P62 This is a survey on recent progress in algebraic deformation theory and the application of algebraic operads to its study. We review the classical homotopical tools in the theory of algebraic operads, namely Koszul duality. We give concrete examples of applications of such tools to various flavours of problems related to deformations of algebraic structures. We also study formal moduli problems and related notions from the operadic point of view. |
| title | Operadic Deformation Theory |
| topic | Algebraic Topology Quantum Algebra 18M70, 18N40, 18N50, 18N60, 22E60, 55P62 |
| url | https://arxiv.org/abs/2307.11187 |