@article{faeee10538344433b7e99f479b2fa170,
title = "Positive Ricci Curvature on Highly Connected Manifolds",
abstract = "For k ≥ 2, let M4k−1 be a closed (2k−2)-connected manifold. If k ≡ 1 mod 4 assume further that M is (2k−1)-parallelisable. Then there is a homotopy sphere Σ4k−1 such that M ]Σ admits a Ricci positive metric. This follows from a new description of these manifolds as the boundaries of explicit plumbings.",
author = "Diarmuid Crowley and Wraith, {David J.}",
note = "Acknowledgments. We would like to thank Jim Davis, Anand Dessai, Karsten Grove, Matthias Kreck, Gabriele Nebe, Walter Neumann, Andrew Ranicki, Andras Stipsicz and Stephan Stolz for various helpful comments. The first author would like to thank the National University of Ireland Maynooth for its hospitality during the 2013 Irish Geometry Conference, which directly supported research for this paper. The first author acknowledges the support of the Leibniz Prize of Wolfgang Luck, granted by the Deutsche Forschungsgemeinschaft.",
year = "2017",
month = jun,
doi = "10.4310/jdg/1497405625",
language = "English",
volume = "106",
pages = "187--243",
journal = "Journal of Differential Geometry",
issn = "0022-040X",
publisher = "International Press of Boston, Inc.",
number = "2",
}