Sharper periodicity and stabilization maps for configuration spaces of closed manifolds
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- by Alexander Kupers and Jeremy Miller PDF
- Proc. Amer. Math. Soc. 144 (2016), 5457-5468
Abstract:
In this note we study the homology of configuration spaces of closed manifolds. We sharpen the eventual periodicity results of Nagpal and Cantero-Palmer, prove integral homological stability for configuration spaces of odd-dimensional manifolds and introduce a stabilization map on the homology with $\mathbb {Z}[1/2]$-coefficients of configuration spaces of odd-dimensional manifolds.References
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Additional Information
- Alexander Kupers
- Affiliation: Department of Mathematics, Stanford University, 450 Serra Mall, Stanford, California 94305
- Email: kupers@stanford.edu
- Jeremy Miller
- Affiliation: Department of Mathematics, Purdue University, 150 North University Street, West Lafayette, Indiana 47907-2067
- Email: jeremykmiller@purdue.edu
- Received by editor(s): September 28, 2015
- Received by editor(s) in revised form: October 8, 2015, January 26, 2016, and February 22, 2016
- Published electronically: June 30, 2016
- Additional Notes: The first author was supported by a William R. Hewlett Stanford Graduate Fellowship, Department of Mathematics, Stanford University, and was partially supported by NSF grant DMS-1105058.
- Communicated by: Michael A. Mandell
- © Copyright 2016 Alexander Kupers and Jeremy Miller
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5457-5468
- MSC (2010): Primary 55R40, 55R80
- DOI: https://doi.org/10.1090/proc/13181
- MathSciNet review: 3556286