A topologically induced 2-in/2-out operation on loop cohomology

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^*(ΩX; Z_2) comes equipped with a nontrivial operation ω: H x H --> H x H.

9 pages. The title has changed in version 9, and some indexing issues in the transfer algorithm have been corrected

References in corpus (1)

• Morphisms of A-infinity Bialgebras and Applications

Cited by in corpus (2)

• Morphisms of A-infinity Bialgebras and Applications
• Framed Matrices and $A_{\infty }$-Bialgebras