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Conference Paper: Shifted Poisson geometry of moduli space

TitleShifted Poisson geometry of moduli space
Authors
Hua, Z
Issue Date2018
Citation
Algebra and Algebraic Geometry Seminar, University of Washington, Seattle, WA, USA, 7 August 2018 How to Cite?
AbstractIn 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 Identifierhttp://hdl.handle.net/10722/270466

 

DC FieldValueLanguage
dc.contributor.authorHua, Z-
dc.date.accessioned2019-05-29T01:41:28Z-
dc.date.available2019-05-29T01:41:28Z-
dc.date.issued2018-
dc.identifier.citationAlgebra and Algebraic Geometry Seminar, University of Washington, Seattle, WA, USA, 7 August 2018-
dc.identifier.urihttp://hdl.handle.net/10722/270466-
dc.description.abstractIn 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.languageeng-
dc.relation.ispartofUniversity of Washington, Algebra and Algebraic Geometry Seminar-
dc.titleShifted Poisson geometry of moduli space-
dc.typeConference_Paper-
dc.identifier.emailHua, Z: huazheng@hku.hk-
dc.identifier.authorityHua, Z=rp01790-
dc.identifier.hkuros289668-

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