Cohomology and higher dimensional Baer invariants

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Wilson Surfaces and Higher Dimensional Knot Invariants

An observable for nonabelian, higher-dimensional forms is introduced, its properties are discussed and its expectation value in BF theory is described. This is shown to produce potential and genuine invariants of higher-dimensional knots.

متن کامل

Invariants for 1-dimensional Cohomology Classes Arising from Tqft

Let (V,Z) be a Topological Quantum Field Theory over a field f defined on a cobordism category whose morphisms are oriented n+1-manifolds perhaps with extra structure (for example a p1 structure and banded link). Let (M,χ) be a closed oriented n+ 1-manifold M with this extra structure together with χ ∈ H1(M). Let M∞ denote the infinite cyclic cover of M given by χ. Consider a fundamental domain...

متن کامل

Secondary Cohomology and k-invariants

For a triple (G,A, κ) (where G is a group, A is a G-module and κ : G → A is a 3-cocycle) and a G-module B we introduce a new cohomology theory 2Hn(G,A, κ;B) which we call the secondary cohomology. We give a construction that associates to a pointed topological space (X, x0) an invariant 2κ 4 ∈ 2H (π1(X), π2(X), κ; π3(X)). This construction can be seen a “3type” generalization of the classical k...

متن کامل

Invariants of Higher-Dimensional Knots and Topological Quantum Field Theories

The present work can be divided into two main parts: i) the first deals with the functionalintegral quantization via BV formalism of BF theories in any dimension, and ii) the second with (isotopy-) invariants of higher-dimensional knots in Euclidean spaces. We briefly comment on the motivations and the results of part i) and ii). BF theory in 3 dimensions (with the addition of a so-called “cosm...

متن کامل

Baer Invariants in Semi-abelian Categories Ii: Homology

This article treats the problem of deriving the reflector of a semi-abelian category A onto a Birkhoff subcategory B of A. Basing ourselves on Carrasco, Cegarra and Grandjeán’s homology theory for crossed modules, we establish a connection between our theory of Baer invariants with a generalization—to semi-abelian categories— of Barr and Beck’s cotriple homology theory. This results in a semi-a...

متن کامل

ذخیره 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 Algebra

سال: 1990

ISSN: 0021-8693

DOI: 10.1016/0021-8693(90)90133-9