Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

   
 

 

Sharper periodicity and stabilization maps for configuration spaces of closed manifolds


Authors: 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
Published electronically: June 30, 2016
MathSciNet review: 3556286
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 55R40, 55R80

Retrieve articles in all journals with MSC (2010): 55R40, 55R80


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

DOI: https://doi.org/10.1090/proc/13181
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
Article copyright: © Copyright 2016 Alexander Kupers and Jeremy Miller