Ainfinity-algebra Structure in Cohomology and its Applications
Algebraic Topology
2023-07-21 v1
Abstract
In these lectures we present our minimality theorem by which in cohomology of a topological space appear multioperations which turn it ot Stasheff algebra. This rich structure carries more information than just the structure of cohomology algebra, particularly it allows to define cohomologies of the loop space. We present also the notion of algebra and the commutatitive version of the minimality theorem by which in rational cohomology algebra appear multioperations which form a algebra structure which completely determines the rational homotopy type.
Keywords
Cite
@article{arxiv.2307.10300,
title = {Ainfinity-algebra Structure in Cohomology and its Applications},
author = {Tornike Kadeishvili},
journal= {arXiv preprint arXiv:2307.10300},
year = {2023}
}
Comments
65 pages. arXiv admin note: text overlap with arXiv:0811.1655