Homological stability for symmetric complements
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- by Alexander Kupers, Jeremy Miller and TriThang Tran PDF
- Trans. Amer. Math. Soc. 368 (2016), 7745-7762 Request permission
Abstract:
A conjecture of Vakil and Wood (2015) states that the complements of closures of certain strata of the symmetric power of a smooth irreducible complex variety exhibit rational homological stability. We prove a generalization of this conjecture to the case of connected manifolds of dimension at least 2 and give an explicit homological stability range.References
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Additional Information
- Alexander Kupers
- Affiliation: Department of Mathematics, Stanford University, Stanford, California 94305-2125
- MR Author ID: 1053091
- Jeremy Miller
- Affiliation: Mathematics PhD Program, CUNY Graduate Center, New York, New York 10016-4309
- Address at time of publication: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907-2067
- MR Author ID: 1009804
- TriThang Tran
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
- Received by editor(s): July 14, 2014
- Received by editor(s) in revised form: October 20, 2014, and November 12, 2014
- Published electronically: December 2, 2015
- 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.
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 7745-7762
- MSC (2010): Primary 55R80; Secondary 55R40
- DOI: https://doi.org/10.1090/tran/6623
- MathSciNet review: 3546782