Journal article
Homological stability for symmetric complements
A Kupers, J Miller, T Tran
Transactions of the American Mathematical Society | AMER MATHEMATICAL SOC | Published : 2016
DOI: 10.1090/tran/6623
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.
Grants
Awarded by Stanford University
Funding Acknowledgements
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.