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Deformation in holomorphic Poisson manifolds

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Publication:344178
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DOI10.1016/j.difgeo.2016.08.007zbMath1353.53082OpenAlexW2520211148WikidataQ115355622 ScholiaQ115355622MaRDI QIDQ344178

Xiang Ji

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.08.007

zbMATH Keywords

deformations\(L_\infty\) algebracoisotropic submanifoldholomorphic Poisson manifoldtubular neighborhood


Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)




Cites Work

  • Deformations of coisotropic submanifolds for fibrewise entire Poisson structures
  • Simultaneous deformations of algebras and morphisms via derived brackets
  • Coisotropic submanifolds in Poisson geometry and branes in the Poisson sigma model
  • Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes
  • Equivalences of higher derived brackets
  • Geometry of Maurer-Cartan elements on complex manifolds
  • Introduction to sh Lie algebras for physicists
  • Simultaneous deformations of a Lie algebroid and its Lie subalgebroid
  • Higher derived brackets and homotopy algebras
  • On coisotropic deformations of holomorphic submanifolds
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