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A(∞)-Algebra Structure in the Cohomology and Cohomologies of a Free Loop Space.
- Source :
-
Journal of Mathematical Sciences . Oct2023, Vol. 275 Issue 6, p735-743. 9p. - Publication Year :
- 2023
-
Abstract
- The cohomology algebra of the space H∗ (X) defines neither cohomology modules of the loop space H∗ (ΩX) nor cohomologies of the free loop space H∗ (ΛX). But by the author's minimality theorem, there exists a structure of A(∞)-algebra (H∗ (X), {mi}) on H∗ (X), which determines H∗ (ΩX). Here will be shown that the same A(∞)-algebra (H∗(X), {mi}) determines also cohomology modules H∗ (ΛX). [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*COHOMOLOGY theory
Subjects
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 275
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 173366786
- Full Text :
- https://doi.org/10.1007/s10958-023-06715-4