Supersymmetry and the formal loop space

For any algebraic super-manifold M we define the super-ind-scheme LM of formal loops and study the transgression map (Radon transform) on differential forms in this context. Applying this to the super-manifold M=SX, the spectrum of the de Rham complex of a manifold X, we obtain, in particular, that the transgression map for X is a quasi-isomorphism between the [2,3)-truncated de Rham complex of X and the additive part of the [1,2)-truncated de Rham complex of LX. The proof uses the super-manifold SSX and the action of the Lie super-algebra sl(1|2) on this manifold. This quasi-isomorphism result provides a crucial step in the classification of sheaves of chiral differential operators in terms of geometry of the formal loop space.     

Topological gravity from a transgression gauge field theory

It is shown that a topological action for gravity in even dimensions can be obtained from a gravity theory whose Lagrangian is given by a transgression form invariant under the Poincaré group.     

土层工程性质与其沉积环境关系分析研究

对江苏北部沿海地区与长江三角洲地区土层的工程性质进行分析对比 ,发现这两地区的土层在同一个历史时期所沉积但土层工程性质完全不一样。因此分析了该两地区在同一历史时期的沉积环境与当时的水动力条件与沉积物源的来源。由分析研究结果得到 ,土层的物理力学性质与该土层当时的沉积环境、水动力条件与沉积物源有重要的关系。因此对土层如果能了解其在沉积过程当中的沉积条件 ,更有利于分析研究该土层的物理力学性质