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arXiv · 2407.15598

Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry

Yingdi Qin
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Abstract

Generalized complex geometry was classically formulated by the language of differential geometry. In this paper, we reformulated a generalized complex manifold as a holomorphic symplectic differentiable formal stack in a homotopical sense. Meanwhile, by developing the machinery for shifted symplectic formal stack, we prove that the coisotropic intersection inherits shifted Poisson structure. Generalized complex branes are also studied.

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Yingdi Qin. 2024-07-22. Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry. https://arxiv.org/abs/2407.15598

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