Homological stability for symmetric complements
Algebraic Topology
2014-12-17 v2 Algebraic Geometry
Abstract
Conjecture F from [VW12] 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.
Cite
@article{arxiv.1410.5497,
title = {Homological stability for symmetric complements},
author = {Alexander Kupers and Jeremy Miller and TriThang Tran},
journal= {arXiv preprint arXiv:1410.5497},
year = {2014}
}
Comments
18 pages. This paper was obtained by combining work of the first two authors (arXiv:1312.6424) and the third author (arXiv:1312.6327). Final version, to appear in Transactions of the American Mathematical Society