Construction of Cohomology of Discrete Groups

Construction of Cohomology of Discrete Groups

A correspondence between Hermitian modular forms and vector valued harmonic forms in locally symmetric spaces associated to U(p,q) is constructed and also shown in general to be nonzero. The construction utilizes Rallis-Schiffmann type theta functions and simplified arguments to circumvent differential geometric calculations used previously in related problems. Introduction. In our previous pap...

Cyclic Cohomology for Discrete Groups

We survey the cyclic cohomology associated with various algebras related to discrete groups. We then discuss the motivation and techniques of the cyclic theory approach to various problems in algebra and analysis.

Digital cohomology groups of certain minimal surfaces

In this study, we compute simplicial cohomology groups with different coefficients of a connected sum of certain minimal simple surfaces by using the universal coefficient theorem for cohomology groups. The method used in this paper is a different way to compute digital cohomology groups of minimal simple surfaces. We also prove some theorems related to degree properties of a map on digital sph...

Polynomially bounded cohomology and discrete groups

We establish the homological foundations for studying polynomially bounded group cohomology, and show that the natural map from PH∗(G;Q) to H∗(G;Q) is an isomorphism for a certain class of groups. © 2004 Elsevier B.V. All rights reserved. MSC: 18G10; 18G40; 13D99; 16E30; 20J05; 20F05; 20F65

Structural Properties of Inner Amenable Discrete Groups