L∞ models of based mapping spaces
BUIJS, Urtzi ; FÉLIX, Yves ; MURILLO, Aniceto
J. Math. Soc. Japan, Tome 63 (2011) no. 2, p. 503-524 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper, for any pointed map f: X → Y between finite type nilpotent CW-complexes, we obtain L∞ and Lie models of mapf*(X,Y), the pointed space of based maps homotopic to f, in terms of Lie algebras constructed from the Quillen models of X and Y. The main advantage of our approach is to allow X to be an infinite dimensional CW-complex, in which case mapf*(X,Y) has no longer the homotopy type of a finite type CW-complex.
Publié le : 2011-04-15
Classification:  mapping space,  L_∞ algebra,  Quillen model,  rational homotopy theory,  55P62,  54C35 
@article{1303737796,
     author = {BUIJS, Urtzi and F\'ELIX, Yves and MURILLO, Aniceto},
     title = {L<sub>$\infty$</sub> models of based mapping spaces},
     journal = {J. Math. Soc. Japan},
     volume = {63},
     number = {2},
     year = {2011},
     pages = { 503-524},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1303737796}
}

BUIJS, Urtzi; FÉLIX, Yves; MURILLO, Aniceto. L∞ models of based mapping spaces. J. Math. Soc. Japan, Tome 63 (2011) no. 2, pp.  503-524. http://gdmltest.u-ga.fr/item/1303737796/