Integrations and cohomology theory
نویسندگان
چکیده
منابع مشابه
Exotic Cohomology and Index Theory
The main result of this paper is a version of the Atiyah-Singer index theorem for Dirac-type operators on (noncompact) complete Riemannian manifolds. The statement of the theorem involves a novel "cohomology" theory for such manifolds. This theory, called exotic cohomology, depends on the structure at infinity of a space; more precisely, it depends on the way that large bounded sets fit togethe...
متن کاملOn General Cohomology Theory
Introduction. Due to the somewhat complicated character of the original definition of the Cech cohomology groups (in terms of open coverings and direct limit groups), several alternative approaches have been proposed in the literature for the purpose of achieving better conceptual insight or greater technical convenience, or preferably both. The purpose of this note is to propose still another ...
متن کاملCohomology Theory of Abelian Groups
This note will present certain algebraic results obtained by Samuel Eilenberg and the author in a study of the relations between homotopy and homology groups of a topological space. These results yield a homology theory for any abelian group II, in which the low dimensional homology and cohomology groups of n correspond to familiar constructions on II. They depend upon the application of the me...
متن کاملLocal Cohomology in Field Theory
This is an introductory survey of the theory of p-form conservation laws in field theory. It is based upon a series of lectures given at the Second Mexican School on Gravitation and In these lectures I will provide a survey of some aspects of the theory of local coho-mology in field theory and provide some illustrative applications, primarily taken from the Einstein equations of the general the...
متن کاملConformal field theory and elliptic cohomology
In this paper, we use conformal field theory to construct a generalized cohomology theory which has some properties of elliptic cohomology theory which was some properties of elliptic cohomology. A part of our presentation is a rigorous definition of conformal field theory following Segal’s axioms, and some examples, such as lattice theories associated with a unimodular even lattice. We also in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1985
ISSN: 0022-4049
DOI: 10.1016/0022-4049(85)90056-8