@article{eec6f9a7b72f45b08edf65237391012f,
title = "Distinguishing slice disks using knot Floer homology",
abstract = "We study the classification of slice disks of knots up to isotopy and diffeomorphism using an invariant in knot Floer homology. We compute the invariant of a slice disk obtained by deform-spinning, and show that it can be effectively used to distinguish non-isotopic slice disks with diffeomorphic complements. Given a slice disk of a composite knot, we define a numerical stable diffeomorphism invariant called the rank. This can be used to show that a slice disk is not a boundary connected sum, and to give lower bounds on the complexity of certain hyperplane sections of the slice disk.",
keywords = "4-manifold, Concordance, Heegaard Floer homology, Slice disk",
author = "Andr{\'a}s Juh{\'a}sz and Ian Zemke",
note = "Funding Information: We would like to thank David Gabai and Maggie Miller for helpful conversations. The first author was supported by a Royal Society Research Fellowship, and the second author by an NSF Postdoctoral Research Fellowship (DMS-1703685). This project has received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Grant agreement No 674978). Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Funding Information: We would like to thank David Gabai and Maggie Miller for helpful conversations. The first author was supported by a Royal Society Research Fellowship, and the second author by an NSF Postdoctoral Research Fellowship (DMS-1703685). This project has received funding from the European Research Council (ERC) under the European Union?s Horizon 2020 research and innovation programme (Grant agreement No 674978). Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",
year = "2020",
month = feb,
day = "1",
doi = "10.1007/s00029-019-0531-6",
language = "English (US)",
volume = "26",
journal = "Selecta Mathematica, New Series",
issn = "1022-1824",
publisher = "Birkhauser Verlag Basel",
number = "1",
}