Homotopy graph-complex for configuration and knot spaces
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- by Pascal Lambrechts and Victor Turchin PDF
- Trans. Amer. Math. Soc. 361 (2009), 207-222 Request permission
Abstract:
We prove that the primitive part of the Sinha homology spectral sequence $E^2$-term for the space of long knots is rationally isomorphic to the homotopy $\mathcal {E}^2$-term. We also define natural graph-complexes computing the rational homotopy of configuration and of knot spaces.References
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Additional Information
- Pascal Lambrechts
- Affiliation: Institut Mathématique, University Catholique de Louvain, 2 Chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium
- MR Author ID: 636401
- Email: lambrechts@math.ucl.ac.be
- Victor Turchin
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403 – and – Institut des Hautes Études Scientifiques, 91440 Bures-sur-Yvette, France
- Address at time of publication: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506
- Email: turchin@math.ksu.edu
- Received by editor(s): November 27, 2006
- Published electronically: July 30, 2008
- Additional Notes: The first author is chercheur qualifié au F.N.R.S
The second author was supported in part by the grants NSH-1972.2003.01 and RFBR 05-01-01012a. - © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 207-222
- MSC (2000): Primary 57Q45; Secondary 55P62, 57R40
- DOI: https://doi.org/10.1090/S0002-9947-08-04650-3
- MathSciNet review: 2439404