Coformality and rational homotopy groups of spaces of long knots

• Autores: Gregory Z. Arone, Pascal Lambrechts , Victor Turchin, Ismar Volic
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 1, 2008, págs. 1-15
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n1.a1
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• Resumen

  • We show that the Bousfield-Kan spectral sequence which computes the rational homotopy groups of the space of long knots in $\BR^d$ for $d\ge 4$ collapses at the $E^2$ page. The main ingredients in the proof are Sinha's cosimplicial model for the space of long knots and a coformality result for the little balls operad