It is well known that the proper action functional of (4k+ 3)-dimensional U(1)-Chern-Simons theory including the instanton sectors is given on gauge equivalence classes of fields by the fiber integration of the cup product square of classes in degree-(2k + 2) differential cohomology. We first refine this statement from gauge equivalence classes to the full higher smooth moduli stack of fields, ...

For some patients, compassionate use programmes (CUPs) are the only way to access promising medicinal products that are not yet authorized and for which clinical trials are either not available or in which these patients cannot participate. For such patients, the CUP benefits can be very important. Although an EU regulatory framework exists, there is no single, centralized EU-wide procedure for...

The vacuum cup grippers operate using Bernoulli Principle for generating high-speed flow between the vacuum cup and product surface thereby creating vacuum which lifted the product. Feasibility observations are studied to demonstrate and obtain an overall understanding on the capability and limitations of the vacuum cup gripper. Most of the robot grippers are not easily applicable due to the fo...

We propose a simple method for constructing formal deformations of differential graded algebras in the category minimal $A_\infty$-algebras. The basis our approach is provided by Gerstenhaber algebra structure on $A_\infty$-cohomology, which we define terms brace operations. As an example, construct $A_\infty$-algebra from Weyl-Moyal $\ast$-product polynomial functions.

We give a general formula relating self cup products in cohomology to connecting maps in nonabelian cohomology, and apply it to obtain a formula for the self cup product associated to the Weil pairing.