Let Γ be the mapping class group of an oriented surface Σ of genus g with r boundary components. We prove that the first cohomology group H(Γ,O(MSL2(C)) ∗) is non-trivial, where the coefficient module is the dual of the space of algebraic functions on the SL2(C) moduli space over Σ.

In this paper we construct a theory of codistributions with singularities that is the dual of the theory of distributions with singularities. We present the Freeman's construction, our punctual results and a new proof of a Freeman's theorem about integrability and normal form of nitelygenerated module of germs of smooth 1-forms.

We study framed links in irreducible 3-manifolds that are Z-homology 3spheres or atoroidal Q-homology 3-spheres. We calculate the dual of the Kauffman skein module over the ring of two variable power series with complex coefficients. For links in S we give a new construction of the classical Kauffman polynomial.

It is obtained a Wold-type decomposition for an adjointable isometry on a Hilbert C∗-module which is sequentially complete with respect to some locally convex topology, denoted by s. Particularly self-dual Hilbert C∗-modules satisfy this condition. Finally, as an application we shall give a new proof of the Wold decomposition theorem for discrete stationary processes in complete correlated acti...

In this article, we study the decomposition of weight–sl2n–modules of degree 1 to a dual pair (sl2, sln). We show that in some generic cases we have an explicit branching rule leading to a Howe–type correspondence between simple highest weight modules. We also give a Howe–type correspondence in the non–generic case. This latter involves some (non simple) Verma modules. Let g denote a reductive ...

A theory of prospective time perception is introduced and incorporated as a module in an integrated theory of cognition, thereby extending existing theories and allowing predictions about attention and learning. First, a time perception module is established by fitting existing datasets (interval estimation and bisection and impact of secondary tasks on attention). The authors subsequently used...

We introduce a discrete 4-dimensional module over the integers that appears to have maximal symmetry. By adjoining the usual Minkowski distance, we obtain a discrete 4-dimensional Minkowski space. Forming universe histories in this space and employing the standard causal order, the histories become causal sets. These causal sets increase in size rapidly and describe an inflationary period for t...

The hit problem for a cohomology module over the Steenrod algebra A asks for a minimal set of A-generators for the module. In this paper we consider the symmetric algebras over the field Fp, for p an arbitrary prime, and treat the equivalent problem of determining the set of A∗-primitive elements in their duals. We produce a method for generating new primitives from known ones via a new action ...

Variable Rate Technology (VRT) is the goal of precision agriculture. In ordet to realize VRT, it is necessary to measure yield accurately and build yield map in real time. A grain yield monitoring system based on IPC (Industrial Personal Computer) was integrated and developed to fit for China actual conditions and combines. The system consisted of a hardware part and a software part. The hardwa...