Homology of spaces of regular loops in the sphere

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In this paper we compute the singular homology of the space of immersions of the circle into the $n$-sphere. Equipped with Chas-Sullivan's loop product these homology groups are graded commutative algebras, we also compute these algebras. We enrich Morse spectral sequences for fibrations of free loop spaces together with loop products, this offers some new computational tools for string topology.
32 pages, 12 figures

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Algebraic Topology, Geometric Topology, 55T05, 55T10, 55N45, 57R19, 57R42, 57R70, 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/224706

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.3319
 http://arxiv.org/abs/0811.3319

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arXiv