Advance Publication | 2022
The advance publication content published here for the Duke Mathematical Journal is in its final form; it has been reviewed, corrected, edited, typeset, and assigned a permanent digital object identifier (DOI). The article's pagination will be updated when the article is assigned to a volume and issue.

Advance publication content can be cited using the date of online publication and the DOI.
Jennifer Hom, Adam Simon Levine, Tye Lidman
Duke Math. J. Advance Publication, 1-43, (2022) DOI: 10.1215/00127094-2021-0110
KEYWORDS: low-dimensional topology, knot concordance, Heegaard Floer homology, 57M25, 57R58
Johannes Nicaise, John Christian Ottem
Duke Math. J. Advance Publication, 1-53, (2022) DOI: 10.1215/00127094-2022-0065
KEYWORDS: rational varieties, Tropical geometry, Degenerations, 14D06, 14E08, 14M25
Jan Sbierski
Duke Math. J. Advance Publication, 1-62, (2022) DOI: 10.1215/00127094-2022-0040
KEYWORDS: General relativity, Lorentzian geometry, singularities, inextendibility, 83C75
Yusheng Luo
Duke Math. J. Advance Publication, 1-59, (2022) DOI: 10.1215/00127094-2022-0056
KEYWORDS: R-trees, Berkovich space, barycentric extension, length spectrum, hyperbolic component, 37F10
Richard Kenyon, István Prause
Duke Math. J. Advance Publication, 1-20, (2022) DOI: 10.1215/00127094-2022-0036
KEYWORDS: variational problem, Surface tension, tiling, inhomogeneous Laplace equation, 49Q10, 35C99, 82B20
Robert J. Lemke Oliver, Frank Thorne
Duke Math. J. Advance Publication, 1-11, (2022) DOI: 10.1215/00127094-2022-0046
KEYWORDS: number field counting, arithmetic statistics, 11R29
Victor Beresnevich, Erez Nesharim, Lei Yang
Duke Math. J. Advance Publication, 1-40, (2022) DOI: 10.1215/00127094-2022-0038
KEYWORDS: diophantine approximation, badly approximable points, winning property, Hausdorff dimension, homogeneous dynamics, quantitative nondivergence, Fractals, 11J13
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