On loop spaces of configuration spaces
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- by F. R. Cohen and S. Gitler PDF
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Abstract:
This article gives an analysis of topological and homological properties for loop spaces of configuration spaces. The main topological results are given by certain choices of product decompositions of these spaces, as well as “twistings" between the factors. The main homological results are given in terms of extensions of the “infinitesimal braid relations" or “universal Yang-Baxter Lie relations".References
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Additional Information
- F. R. Cohen
- Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627
- Email: cohf@math.rochester.edu
- S. Gitler
- Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627, and Departamento de Matemáticas, Cinvestav, Apdo. Postal 14-740 , México, D.F. 07300
- Email: sgitler@math.cinvestav.mx
- Received by editor(s): October 12, 1999
- Received by editor(s) in revised form: September 1, 2001
- Published electronically: January 11, 2002
- Additional Notes: The authors were partially supported by the National Science Foundation Grant number 9704410.
- © Copyright 2002 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 354 (2002), 1705-1748
- MSC (2000): Primary 20F14, 20F36, 52C35, 55P35, 14D99
- DOI: https://doi.org/10.1090/S0002-9947-02-02948-3
- MathSciNet review: 1881013