Results 1  10
of
36,896
On cohomology theory for topological groups
 Proc. Indian Acad. Sci. Math. Sci
"... Abstract. We construct some new cohomology theories for topological groups and Lie groups and study some of its basic properties. For example, we introduce a cohomology theory based on measurable cochains which are continuous in a neighbourhood of identity. We show that if G and A are locally compa ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Abstract. We construct some new cohomology theories for topological groups and Lie groups and study some of its basic properties. For example, we introduce a cohomology theory based on measurable cochains which are continuous in a neighbourhood of identity. We show that if G and A are locally
Algebraic Cycles and Equivariant Cohomology Theories
 Proc. London Math. Soc
, 1995
"... this paper is that algebraic cycles provide interesting nontrivial invariants for finite groups, as well as new equivariant cohomology theories which answer natural questions in equivariant homotopy theory. Besides being quite computable, these theories carry Chern classes for representations and h ..."
Abstract

Cited by 11 (8 self)
 Add to MetaCart
this paper is that algebraic cycles provide interesting nontrivial invariants for finite groups, as well as new equivariant cohomology theories which answer natural questions in equivariant homotopy theory. Besides being quite computable, these theories carry Chern classes for representations
ALGEBRAIC ORIENTED COHOMOLOGY THEORIES
"... Abstract. For every smooth projective variety over an infinite field F we define its fundamental polynomial in Z[b] = Z[b1, b2,...] and prove that the fundamental polynomials generate the Lazard ring Laz ⊂ Z[b]. Using description of invariant prime ideals in Laz, due to Landweber, we assign to ever ..."
Abstract
 Add to MetaCart
Abstract. For every smooth projective variety over an infinite field F we define its fundamental polynomial in Z[b] = Z[b1, b2,...] and prove that the fundamental polynomials generate the Lazard ring Laz ⊂ Z[b]. Using description of invariant prime ideals in Laz, due to Landweber, we assign to every smooth projective variety X the numbers np(X) for every prime integer p. Inequality np(Y)> np(X) for some prime p is an obstruction for existence of a morphism Y → X over F. 1.
COHOMOLOGY THEORY IN 2CATEGORIES
"... Abstract. Recently, symmetric categorical groups are used for the study of the Brauer groups of symmetric monoidal categories. As a part of these efforts, some algebraic structures of the 2category of symmetric categorical groups SCG are being investigated. In this paper, we consider a 2categorica ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
categorical analogue of an abelian category, in such a way that it contains SCG as an example. As a main theorem, we construct a long cohomology 2exact sequence from any extension of complexes in such a 2category. Our axiomatic and selfdual definition will enable us to simplify the proofs, by analogy
Generalised Sheaf Cohomology Theories
, 2003
"... This paper is an expanded version of notes for a set of lectures given at the Isaac Newton Institute for Mathematical Sciences during a NATO ASI Workshop entitled "Homotopy Theory of Geometric Categories" on September 23 and 24, 2002. This workshop was part of a program entitled New Contex ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
This paper is an expanded version of notes for a set of lectures given at the Isaac Newton Institute for Mathematical Sciences during a NATO ASI Workshop entitled "Homotopy Theory of Geometric Categories" on September 23 and 24, 2002. This workshop was part of a program entitled New
A cohomology theory for colored tangles
, 2014
"... We employ the sl(2) foam cohomology to define a cohomology theory for oriented framed tangles whose components are labelled by irreducible representations of Uq(sl(2)). We show that the corresponding colored invariants of tangles can be assembled into invariants of bigger tangles. For the case of kn ..."
Abstract
 Add to MetaCart
We employ the sl(2) foam cohomology to define a cohomology theory for oriented framed tangles whose components are labelled by irreducible representations of Uq(sl(2)). We show that the corresponding colored invariants of tangles can be assembled into invariants of bigger tangles. For the case
Periodic cohomology theories defined by elliptic curves
 Contemp. Math
, 1995
"... Abstract. We use bordism theory to construct periodic cohomology theories, which we call elliptic cohomology, for which the cohomology of a point is a ring of modular functions. These are complexoriented multiplicative cohomology theories, with formal groups associated to the universal elliptic g ..."
Abstract

Cited by 40 (1 self)
 Add to MetaCart
Abstract. We use bordism theory to construct periodic cohomology theories, which we call elliptic cohomology, for which the cohomology of a point is a ring of modular functions. These are complexoriented multiplicative cohomology theories, with formal groups associated to the universal ellip
Results 1  10
of
36,896