Abstract
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.
Citation
Urtzi BUIJS. Yves FÉLIX. Aniceto MURILLO. "L∞ models of based mapping spaces." J. Math. Soc. Japan 63 (2) 503 - 524, April, 2011. https://doi.org/10.2969/jmsj/06320503
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