L∞ rational homotopy of mapping spaces

Buijs, Urtzi;Félix, Yves;Murillo, Aniceto
(2013) Revista Matematica Complutense — Vol. 26, n° 2, p. 573-588 (2013)

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Authors
  • Buijs, UrtziUCLouvain
    Author
  • Félix, YvesUCLouvain
    Author
  • Murillo, Aniceto
    Author
Abstract
In this paper we describe explicit L∞ algebras modeling the rational homotopy type of any component of the spaces map(X, Y ) and map*(X, Y ) of free and pointed maps between the finite nilpotent CW-complex X and the finite type nilpotent CW-complex Y When X is of finite type, non necessarily finite, we also show that the algebraic covers of these L∞ algebras model the universal covers of the corresponding mapping spaces. © 2012 Universidad Complutense de Madrid.
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Buijs, U., Félix, Y., & Murillo, A. (2013). L∞ rational homotopy of mapping spaces. Revista Matematica Complutense, 26(2), 573-588. https://doi.org/10.1007/s13163-012-0105-z (Original work published 2013)