A topologically induced 2-in/2-out operation on loop cohomology
Algebraic Topology
2012-05-17 v9
Abstract
We apply the Transfer Algorithm introduced in arXiv:1106.5090 to transfer an A_\infty-algebra structure that cannot be computed using the classical Basic Perturbation Lemma. We construct a space X whose (base pointed) loop cohomology H = H^*(\Omega X; Z_2) comes equipped with a nontrivial operation \omega : H x H --> H x H.
Keywords
Cite
@article{arxiv.1108.5693,
title = {A topologically induced 2-in/2-out operation on loop cohomology},
author = {Ronald Umble},
journal= {arXiv preprint arXiv:1108.5693},
year = {2012}
}
Comments
9 pages. The title has changed in version 9, and some indexing issues in the transfer algorithm have been corrected