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arXiv · 1805.10429

Deformations of Courant pairs and Poisson algebras

Ashis Mandal·Satyendra Kumar Mishra
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Abstract

We study deformation of Courant pairs with a commutative algebra base. We consider the deformation cohomology bi-complex and describe a universal infinitesimal deformation. In a sequel, we formulate an extension of a given deformation of a Courant pair to another with extended base. This leads to describe the obstruction in extending a given deformation. We also discuss about the construction of versal deformation of Courant pairs. As an application, we explicitly compute universal infinitesimal deformation of Poisson algebra structures

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Ashis Mandal, Satyendra Kumar Mishra. 2018-05-26. Deformations of Courant pairs and Poisson algebras. https://arxiv.org/abs/1805.10429

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