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(L_{infty })rational homotopy of mapping spaces

✍ Scribed by Urtzi Buijs, Yves Félix, Aniceto Murillo


Book ID
120714324
Publisher
Universidad Complutense de Madrid
Year
2012
Tongue
Spanish
Weight
237 KB
Volume
26
Category
Article
ISSN
1139-1138

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The rational homotopy Lie algebra of cla
✍ Samuel Bruce Smith 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

We compute the center and nilpotency of the graded Lie algebra \* ( Baut1(X ))⊗Q for a large class of formal spaces X: The latter calculation determines the rational homotopical nilpotency of the space of self-equivalences aut1(X ) for these X . Our results apply, in particular, when X is a complex