A simple construction of the Rumin algebra
The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra. We recover this fact by giving a simple and explicit construction of the Rumin algebra via Markl’s formulation of the Homotopy Transfer Theorem.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-10-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.510/ |
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| author | Case, Jeffrey S. |
| author_facet | Case, Jeffrey S. |
| author_sort | Case, Jeffrey S. |
| collection | DOAJ |
| description | The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra. We recover this fact by giving a simple and explicit construction of the Rumin algebra via Markl’s formulation of the Homotopy Transfer Theorem. |
| format | Article |
| id | doaj-art-f030fecf7c0940b49c2e7d564d32e762 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-f030fecf7c0940b49c2e7d564d32e7622025-02-07T11:10:23ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-10-01361G81375138210.5802/crmath.51010.5802/crmath.510A simple construction of the Rumin algebraCase, Jeffrey S.0Department of Mathematics, Penn State University, University Park, PA 16802, USAThe Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra. We recover this fact by giving a simple and explicit construction of the Rumin algebra via Markl’s formulation of the Homotopy Transfer Theorem.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.510/Rumin complexRumin algebracontact invariant |
| spellingShingle | Case, Jeffrey S. A simple construction of the Rumin algebra Comptes Rendus. Mathématique Rumin complex Rumin algebra contact invariant |
| title | A simple construction of the Rumin algebra |
| title_full | A simple construction of the Rumin algebra |
| title_fullStr | A simple construction of the Rumin algebra |
| title_full_unstemmed | A simple construction of the Rumin algebra |
| title_short | A simple construction of the Rumin algebra |
| title_sort | simple construction of the rumin algebra |
| topic | Rumin complex Rumin algebra contact invariant |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.510/ |
| work_keys_str_mv | AT casejeffreys asimpleconstructionoftheruminalgebra AT casejeffreys simpleconstructionoftheruminalgebra |