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Two-loop part of the rational homotopy of spaces of long embeddings

โœ Scribed by Conant, Jim; Costello, Jean; Turchin, Victor; Weed, Patrick


Book ID
125500992
Publisher
World Scientific Publishing Company
Year
2014
Tongue
English
Weight
361 KB
Volume
23
Category
Article
ISSN
0218-2165

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The rational homotopy Lie algebra of cla
โœ Samuel Bruce Smith ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 117 KB

We compute the center and nilpotency of the graded Lie algebra \* ( Baut1(X ))โŠ—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