Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry
Symplectic Geometry
2024-07-25 v2 Algebraic Geometry
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.
Cite
@article{arxiv.2407.15598,
title = {Shifted symplectic structure on Poisson Lie algebroid and generalized complex geometry},
author = {Yingdi Qin},
journal= {arXiv preprint arXiv:2407.15598},
year = {2024}
}