Derived deformation functors, Koszul duality, and Maurer-Cartan spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908481230995456 |
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| author | Pridham, J. P. |
| author_facet | Pridham, J. P. |
| contents | We summarise the chain of comparisons showing Hinich's derived Maurer-Cartan functor gives an equivalence between differential graded Lie algebras and derived Schlessinger functors on Artinian differential graded-commutative algebras. We include some motivating deformation problems and analogues for more general Koszul dual pairs of operads. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05307 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Derived deformation functors, Koszul duality, and Maurer-Cartan spaces Pridham, J. P. Algebraic Geometry Algebraic Topology Quantum Algebra We summarise the chain of comparisons showing Hinich's derived Maurer-Cartan functor gives an equivalence between differential graded Lie algebras and derived Schlessinger functors on Artinian differential graded-commutative algebras. We include some motivating deformation problems and analogues for more general Koszul dual pairs of operads. |
| title | Derived deformation functors, Koszul duality, and Maurer-Cartan spaces |
| topic | Algebraic Geometry Algebraic Topology Quantum Algebra |
| url | https://arxiv.org/abs/2503.05307 |