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707 research outcomes, page 1 of 71
  • publication . Preprint . 2020
    Open Access English
    Authors:
    Andruskiewitsch, Nicolás; Bagio, Dirceu; Della Flora, Saradia; Flôres, Daiana;
    Project: NSF | Mathematical Sciences Res... (1440140)

    Comment: 15 pages

  • publication . Preprint . 2017
    Open Access English
    Authors:
    Aguiar, Marcelo; Ardila, Federico;
    Project: NSF | Mathematical Sciences Res... (1440140), NSF | Algebra and Combinatorics... (0600973), NSF | Combinatorics in Geometry (0801075), NSF | Categories, Hopf Algebras... (1001935), NSF | CAREER: Matroids, polytop... (0956178)

    Generalized permutahedra are a family of polytopes with a rich combinatorial structure and strong connections to optimization. We prove that they are the universal family of polyhedra with a certain Hopf algebraic structure. Their antipode is remarkably simple: the anti...

  • publication . Preprint . 2019
    Open Access English
    Authors:
    Bertola, Marco; Korotkin, Dmitry;
    Project: NSERC , NSF | Mathematical Sciences Res... (1440140)

    Comment: 30 pages, 13 figures. V2: change of coordinates and added references. V3: several added figures; added extended quiver; added references. V4: further minor corrections. V5: some signs corrected. V6: added section on dilogarithm line bundle. V7: some minor corre...

  • publication . Preprint . Article . 2017
    Open Access English
    Authors:
    Polona Durcik; Shaoming Guo; Joris Roos;
    Project: NSF | Mathematical Sciences Res... (1440140)

    Comment: 18 pages, to appear in Transactions of the AMS

  • publication . Preprint . Article . 2018
    Open Access English
    Authors:
    Robert H. Gilman; Robert P. Kropholler; Saul Schleimer;
    Project: NSF | Mathematical Sciences Res... (1440140)

    <jats:title>Abstract</jats:title> <jats:p>Suppose that <jats:italic>G</jats:italic> is a finitely generated group and <jats:inline-formula id="j_gcc-2018-0010_ineq_9999"> <jats:alternatives> <jats:inline-graphic xlink:href="graphic/j_gcc-2018-0010_eq_0149.png" /> <jats:...

  • publication . Article . Preprint . 2017
    Open Access
    Authors:
    Linowitz, B.; McReynolds, D.; Pollack, P.; Thompson, L.;
    Publisher: Elsevier BV
    Project: NSF | Geometry and groups: Stru... (1408458), NSF | Mathematical Sciences Res... (1440140), NSF | Statistical problems in e... (1402268)

    In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessarily commensurable. While this is known to be true for arithmetic hyperbolic 3-manifolds, the non-arithmetic case is still open. Building towards a negative answer to thi...

  • publication . Article . Preprint . 2018
    Open Access
    Authors:
    Bobkov, Sergey; Klartag, Bo'az; Koldobsky, Alexander;
    Publisher: American Mathematical Society (AMS)
    Project: NSF | Mathematical Sciences Res... (1440140), NSF | Fourier analysis in geome... (1700036)

    We prove several estimates for the moments of arbitrary measures on convex bodies. We apply these estimates to show a new slicing inequality for measures on convex bodies. We also deduce estimates for the outer volume ratio distance from an arbitrary centrally-symmetric...

  • publication . Preprint . 2016
    Open Access English
    Authors:
    Kapovitch, Vitali; Lott, John;
    Project: NSERC , NSF | Singular Ricci flow, Eins... (1510192), NSF | Mathematical Sciences Res... (1440140)

    We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero A-hat genus. Another condition is that the fundamental group is infinite or, mor...

  • publication . Preprint . Article . Other literature type . 2018
    Open Access English
    Authors:
    Duong, Xuan Thinh; Li, Ji; Ou, Yumeng; Pipher, Jill; Wick, Brett D.;
    Project: NSF | Mathematical Sciences Res... (1440140), NSF | Applications of Harmonic ... (1560955)

    We introduce the iterated commutator for the Riesz transforms in the multi-parameter flag setting, and prove the upper bound of this commutator with respect to the symbol $b$ in the flag BMO space. Our methods require the techniques of semigroups, harmonic functions and...

  • publication . Preprint . 2018
    Open Access English
    Authors:
    Street, Brian;
    Project: NSF | Singular Integrals and Ge... (1401671), NSF | Metrics and Singular Inte... (1764265), NSF | Mathematical Sciences Res... (1440140)

    Comment: 44 pages; third part in a three part series; part 1: arXiv:1709.04528; part 2: arXiv:1808.04159

707 research outcomes, page 1 of 71
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