A one-dimensional embedding complex

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We give the first explicit computations of rational homotopy groups of spaces of "long knots" in Euclidean spaces. We define a spectral sequence which converges to these rational homotopy groups whose E^1 term is defined in terms of braid Lie algebras. For odd k we establish a vanishing line for this spectral sequence, show the Euler characteristic of the rows of this E^1 term is zero, and make calculations of E^2 in a finite range.
11 pages

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Algebraic Topology, Geometric Topology, Quantum Algebra, 57R40

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http://salesiana.dossiersoluciones.com/handle/123456789/60277

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011020
 http://arxiv.org/abs/math/0011020

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arXiv