Cyclic structures in algebraic (co)homology theories

Cohomology of Algebraic Theories

Cohomology and Deformations of Algebraic Structures

Gerstenhaber has recently initiated a theory of deformations of associative algebras [4]. The methods and results of Gerstenhaber's work are strikingly similar to those in the theory of deformations of complex analytic structures on compact manifolds. In this note we shall indicate how some of Gerstenhaber's ideas can be reformulated within a framework designed to exploit this similarity, that ...

Push-forwards in oriented cohomology theories of algebraic varieties: II

This preprint contains proofs of the results anounced in [PS] in the part concerning the construction of push-forwards for an oriented cohomology theory. It is constructed one-to-one correspondences between orientations, Chern structures, Thom structures and integrations on a given ring cohomology theory. The theory is illustrated by motivic cohomology, algebraic K-theory, algebraic cobordism t...

Push - forwards in oriented cohomology theories of algebraic varieties : III

This preprint contains proofs of the results anounced in PS] in the part concerning the construction of push-forwards for an oriented cohomology theory. One-to-one correspondences are constructed between orientations, Chern structures, Thom structures and integrations on a given ring cohomology theory. The theory is illustrated by motivic cohomology, algebraic K-theory, algebraic cobordism theo...

Cohomology Theories

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