On the Cohomology Ring of an Algebra

Details On the Cohomology Ring of an Algebra On the Cohomology Ring of an Algebra

1998-03-27

arxiv.org/abs/math/9803132v1

Mathematics

Quantum Algebra

LATEX, 31 pages

Scientific paper

We define several versions of the cohomology ring of an associative algebra. These ring structures unify some well known operations from homological algebra and differential geometry. They have some formal resemblance with the quantum multiplication on Floer cohomology of free loop spaces. We discuss some examples, as well as applications to index theorems, characteristic classes and deformations.

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