论文标题
关于奇数符号几何形状的形式，同伴和BV拉普拉斯人
On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry
论文作者
论文摘要
我们研究了奇数，积分和伪形式的复合物在奇数符号歧管上的复合物，以鉴别形式为差异。我们表明，共同体类别与不相等的拉格朗日亚曼菲尔德对应，并且它们都在其上定义了半频率。此外，我们介绍了从一个Lagragian Submanifold转变为另一个的新运营商，我们调查了他们与所谓的De Rham差速器换图像操作员的关系。最后，我们证明了de rham差异的共同体学与BV拉普拉斯式在差异，积分和伪形式的扩展框架中的同构学之间的同构。
We study the cohomology of the complexes of differential, integral and pseudo forms on odd symplectic manifolds taking the wedge product with the symplectic form as differential. We show that the cohomology classes are in correspondence with inequivalent Lagrangian submanifolds and that they all define semidensities on them. Further, we introduce new operators that move from one Lagragian submanifold to another and we investigate their relation with the so-called picture changing operators for the de Rham differential. Finally, we prove the isomorphism between the cohomology of the de Rham differential and the cohomology of BV Laplacian in the extended framework of differential, integral and pseudo forms.
