@inproceedings{d22b08c600994eb680437735e11b5b73,
title = "A remark on the geography problem in Heegaard Floer homology",
abstract = "We give new obstructions to the module structures arising in Heegaard Floer homology. As a corollary, we characterize the possible modules arising as the Heegaard Floer homology of an integer homology sphere with one-dimensional reduced Floer homology. Up to absolute grading shifts, there are only two. We use this corollary to show that the chain complex depicted by Ozsv{\'a}th, Stipsicz, and Szab{\'o} to argue that there is no algebraic obstruction to the existence of knots with trivial ɛ invariant and non-trivial Υ invariant cannot be realized as the knot Floer complex of a knot.",
author = "Jonathan Hanselman and {\c C}ağatay Kutluhan and Tye Lidman",
note = "Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.; Georgia International Topology Conference, 2017 ; Conference date: 22-05-2017 Through 02-06-2017",
year = "2019",
doi = "10.1090/pspum/102/01810",
language = "English (US)",
isbn = "9781470442491",
series = "Proceedings of Symposia in Pure Mathematics",
publisher = "American Mathematical Society",
pages = "103--111",
editor = "Gay, {David T.} and Weiwei Wu",
booktitle = "Breadth in Contemporary Topology - Georgia International Topology Conference, 2017",
address = "United States",
}