Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
In this paper we prove a conjecture of B. Shoikhet. This conjecture states that the tangent isomorphism on homology, between the Poisson homology associated to a Poisson structure on Rd and the Hochschild homology of its quantized star-product algebra, is an isomorphism of modules over the (isomorph...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2008 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149022 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants / D. Calaque and C.A. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862531078445596672 |
|---|---|
| author | Calaque, D. Rossi, C.A. |
| author_facet | Calaque, D. Rossi, C.A. |
| citation_txt | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants / D. Calaque and C.A. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper we prove a conjecture of B. Shoikhet. This conjecture states that the tangent isomorphism on homology, between the Poisson homology associated to a Poisson structure on Rd and the Hochschild homology of its quantized star-product algebra, is an isomorphism of modules over the (isomorphic) respective cohomology algebras. As a consequence, we obtain a version of the Duflo isomorphism on coinvariants.
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| first_indexed | 2025-11-24T02:40:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149022 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T02:40:09Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Calaque, D. Rossi, C.A. 2019-02-19T13:07:07Z 2019-02-19T13:07:07Z 2008 Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants / D. Calaque and C.A. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 13 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 16E45; 16E40; 81Q30 https://nasplib.isofts.kiev.ua/handle/123456789/149022 In this paper we prove a conjecture of B. Shoikhet. This conjecture states that the tangent isomorphism on homology, between the Poisson homology associated to a Poisson structure on Rd and the Hochschild homology of its quantized star-product algebra, is an isomorphism of modules over the (isomorphic) respective cohomology algebras. As a consequence, we obtain a version of the Duflo isomorphism on coinvariants. This paper is a contribution to the Special Issue on Deformation Quantization. We thank Giovanni Felder for useful discussions and comments. The research of D.C. (on leave of absence from Universit´e Lyon 1) is fully supported by the European Union thanks to a Marie Curie Intra-European Fellowship (contract number MEIF-CT-2007-042212). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants Article published earlier |
| spellingShingle | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants Calaque, D. Rossi, C.A. |
| title | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants |
| title_full | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants |
| title_fullStr | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants |
| title_full_unstemmed | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants |
| title_short | Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants |
| title_sort | shoikhet's conjecture and duflo isomorphism on (co)invariants |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149022 |
| work_keys_str_mv | AT calaqued shoikhetsconjectureanddufloisomorphismoncoinvariants AT rossica shoikhetsconjectureanddufloisomorphismoncoinvariants |