Titre | On the growth of the homology of a free loop space |
Type de publication | Article de revue |
Auteur | Felix, Yves , Halperin, Steve , Thomas, Jean-Claude |
Editeur | International Press |
Type | Article scientifique dans une revue à comité de lecture |
Année | 2013 |
Langue | Anglais |
Date | Jan-01-2013 |
Numéro | 1 |
Pagination | 167-187 |
Volume | 9 |
Titre de la revue | Pure and Applied Mathematics Quarterly |
ISSN | 15588599 |
Mots-clés | free loop space homology, rational homotopy |
Résumé en anglais | We prove that for a wide class of spaces X the homology of the free loop space H∗(XS1;Q) has a very strong exponential growth. We call this convergence, controlled exponential growth, and we prove the good behavior of the controlled exponential growth with respect to fibrations. |
Notes | Special Issue: In Honor of Dennis Sullivan, Part 1 of 2 |
URL de la notice | http://okina.univ-angers.fr/publications/ua10371 |
DOI | 10.4310/PAMQ.2013.v9.n1.a4 |
Lien vers le document | http://www.intlpress.com/site/pub/pages/journals/items/pamq/content/vols... |