Steenrod operations and Hochshild homology
| dc.creator | Ndombol, Bitjong | |
| dc.creator | Thomas, Jean-Claude | |
| dc.date | 2001-09-20 | |
| dc.date.accessioned | 2026-07-07T04:43:28Z | |
| dc.date.available | 2026-07-07T04:43:28Z | |
| dc.description | Let $X$ be a simply connected space and ${\Bbb F}_p$ be a prime field. The algebra of normalized singular cochains $N^*(X; {\Bbb F}_p)$ admits a natural homotopy structure which induces natural Steenrod operations on the Hochschild homology $HH_* N^*(X;{\Bbb F}_p)$ of the space $X$. The primary purpose of this paper is to prove that the J. Jones isomorphism $HH_*N^*(X;{\Bbb F}_p) \cong H ^*(X^{S^1};{\Bbb F}_p)$ identifies theses Stenrood operations with those defined on the cohomology of the free loop space with coefficients in ${\Bbb F}_p$. The other goal of this paper is to describe a theoritic model which allows to do some computations. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0109146 | |
| dc.identifier | http://arxiv.org/abs/math/0109146 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62236 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Commutative Algebra | |
| dc.subject | 55P35, 13D03, 55P48, 16E45, 18F25 | |
| dc.title | Steenrod operations and Hochshild homology | |
| dc.type | text |