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Conference Paper: Shifted Poisson geometry of moduli space
Title | Shifted Poisson geometry of moduli space |
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Authors | |
Issue Date | 2018 |
Citation | Algebra and Algebraic Geometry Seminar, University of Washington, Seattle, WA, USA, 7 August 2018 How to Cite? |
Abstract | In a joint work with Sasha Polishchuk (1706.09965), we proved that the moduli space of bounded complexes of vector bundles on a Calabi-Yau d-fold, up to chain isomorphisms, admits a canonical (1-d)-shifted Poisson structure in the sense of Calaque-Pantev-Toen-Vaquie-Vezzosi. When d=1, we classify the derived symplectic leaves for this moduli space. In the consequent work (1712.01659), we use this result to study the Poisson geometry of matrix algebra of field of meromorphic functions on elliptic curves. In particular, we have classified its symplectic leaves. Certain finite dimensional Poisson sub manifold of this Poisson ind-scheme are semi-classical limits of generalised Sklyanin algebras. |
Persistent Identifier | http://hdl.handle.net/10722/270466 |
DC Field | Value | Language |
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dc.contributor.author | Hua, Z | - |
dc.date.accessioned | 2019-05-29T01:41:28Z | - |
dc.date.available | 2019-05-29T01:41:28Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Algebra and Algebraic Geometry Seminar, University of Washington, Seattle, WA, USA, 7 August 2018 | - |
dc.identifier.uri | http://hdl.handle.net/10722/270466 | - |
dc.description.abstract | In a joint work with Sasha Polishchuk (1706.09965), we proved that the moduli space of bounded complexes of vector bundles on a Calabi-Yau d-fold, up to chain isomorphisms, admits a canonical (1-d)-shifted Poisson structure in the sense of Calaque-Pantev-Toen-Vaquie-Vezzosi. When d=1, we classify the derived symplectic leaves for this moduli space. In the consequent work (1712.01659), we use this result to study the Poisson geometry of matrix algebra of field of meromorphic functions on elliptic curves. In particular, we have classified its symplectic leaves. Certain finite dimensional Poisson sub manifold of this Poisson ind-scheme are semi-classical limits of generalised Sklyanin algebras. | - |
dc.language | eng | - |
dc.relation.ispartof | University of Washington, Algebra and Algebraic Geometry Seminar | - |
dc.title | Shifted Poisson geometry of moduli space | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Hua, Z: huazheng@hku.hk | - |
dc.identifier.authority | Hua, Z=rp01790 | - |
dc.identifier.hkuros | 289668 | - |