Lie models for the components of sections of a nilpotent fibration
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- by Urtzi Buijs, Yves Félix and Aniceto Murillo PDF
- Trans. Amer. Math. Soc. 361 (2009), 5601-5614 Request permission
Abstract:
We give an explicit Lie model for any component of the space of free and pointed sections of a nilpotent fibration, and in particular, of the free and pointed mapping spaces. Among the applications presented, we obtain a Lie model of the exponential law and prove that, in many cases, the rank of the homotopy groups of the mapping space grows at the same rate as the rank of the homotopy groups of the target space.References
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Additional Information
- Urtzi Buijs
- Affiliation: Departamento de Matemática Aplicada, Campus El Ejido, Universidad de Málaga, 29000 Málaga, Spain
- Email: urtzi@agt.cie.uma.es
- Yves Félix
- Affiliation: Institut de Mathématique Pure et Appliquée, Chemin du Cyclotron, 2, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgique
- Email: felix@math.ucl.ac.be
- Aniceto Murillo
- Affiliation: Departamento de Álgebra, Geometría y Topología, Universidad de Málaga, Ap. 59, 29080 Málaga, Spain
- MR Author ID: 294447
- ORCID: 0000-0002-2681-274X
- Email: aniceto@agt.cie.uma.es
- Received by editor(s): February 11, 2008
- Published electronically: May 29, 2009
- Additional Notes: The first and third authors were partially supported by the Ministerio de Educación y Ciencia grant MTM2007-60016 and by the Junta de Andalucía grant FQM-213
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 5601-5614
- MSC (2000): Primary 55P62, 54C35
- DOI: https://doi.org/10.1090/S0002-9947-09-04870-3
- MathSciNet review: 2515825