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707 research outcomes, page 3 of 71
  • publication . Preprint . 2020
    Open Access English
    Authors:
    Schroers, Bernd; Singer, Michael;
    Project: NSF | Mathematical Sciences Res... (1440140)

    We obtain $D_k$ ALF gravitational instantons by a gluing construction which captures, in a precise and explicit fashion, their interpretation as non-linear superpositions of the moduli space of centred charge two monopoles, equipped with the Atiyah-Hitchin metric, and $...

  • publication . Article . Preprint . 2019
    Open Access
    Authors:
    Ardila, Federico; Castillo, Federico; Eur, Christopher; Postnikov, Alexander;
    Publisher: Elsevier BV
    Project: NSF | Mathematical Sciences Res... (1440140)

    Comment: Minor edits. To appear in Advances of Mathematics

  • publication . Preprint . Article . 2018
    Open Access English
    Authors:
    Battistella, L.; Carocci, F.; Manolache, C.;
    Project: NSF | Mathematical Sciences Res... (1440140)

    This note is intended to be a friendly introduction to virtual classes. We review virtual classes and we give a number of properties and applications. We also include a new virtual push-forward theorem and many computations of virtual classes in simple examples.

  • publication . Preprint . 2017
    Open Access English
    Authors:
    Chen, Hao; Schlenker, Jean-Marc;
    Project: NSF | Mathematical Sciences Res... (1440140)

    Comment: 25 pages, 12 figures. v2: improved exposition, etc. v3: mostly updated introduction for clarity

  • publication . Article . 2018
    Open Access
    Authors:
    Granville, A.; Harper, A. J.; Soundararajan, K.;
    Publisher: Wiley
    Project: NSF | Topics in Number Theory (1500237), NSF | Mathematical Sciences Res... (1440140), EC | 1stProposal (670239), NSERC

    <jats:p>Halász’s theorem gives an upper bound for the mean value of a multiplicative function <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif" xlink:type="simple" xlink:href="S0010437X18007522_inl...

  • publication . Other literature type . Preprint . 2017
    Open Access English
    Authors:
    Fioravanti, Elia;
    Publisher: MSP
    Project: NSF | Mathematical Sciences Res... (1440140)

    We construct compactifications for median spaces with compact intervals, generalising Roller boundaries of ${\rm CAT}(0)$ cube complexes. Examples of median spaces with compact intervals include all finite rank median spaces and all proper median spaces of infinite rank...

  • publication . Preprint . 2020
    Open Access English
    Authors:
    Allahverdi, Rouzbeh; Amin, Mustafa A.; Berlin, Asher; Bernal, Nicolás; Byrnes, Christian T.; Delos, M. Sten; Erickcek, Adrienne L.; Escudero, Miguel; Figueroa, Daniel G.; Freese, Katherine; ...
    Project: RCUK | Fundamental Physics from ... (ST/P000258/1), NSF | Beyond the Thermal WIMP P... (1720174), NSF | CAREER: Illuminating the ... (1752752), NSF | Collaborative Research: N... (1813834), EC | InvisiblesPlus (690575), EC | ELUSIVES (674896), NSF | Mathematical Sciences Res... (1440140), EC | DARKHORIZONS (648680), NSF | Kavli Institute for Theor... (1748958)

    It is commonly assumed that the energy density of the Universe was dominated by radiation between reheating after inflation and the onset of matter domination 54,000 years later. While the abundance of light elements indicates that the Universe was radiation dominated d...

  • publication . Preprint . 2018
    Open Access English
    Authors:
    Codenotti, Giulia; Santos, Francisco; Spreer, Jonathan;
    Project: NSF | Mathematical Sciences Res... (1440140)

    We propose and study a variation of Bagchi and Datta's $\sigma$-vector of a simplicial complex C, whose entries are defined as weighted sums of Betti numbers of induced subcomplexes of C. We prove that these invariants satisfy an Alexander-Dehn-Sommerville type identity...

  • publication . Preprint . Article . Other literature type . 2019
    Open Access English
    Authors:
    Bortz, Simon; Hofmann, Steve;
    Project: NSF | Mathematical Sciences Res... (1440140), NSF | "INSPIRE Track 1:" Locali... (1344235)

    We show that a suitable quantitative Fatou Theorem characterizes uniform rectifiability in the codimension 1 case.

  • publication . Preprint . Article . 2018
    Open Access English
    Authors:
    Giulia Codenotti; Francisco Santos;
    Project: NSF | Mathematical Sciences Res... (1440140)

    We construct a hollow lattice polytope (resp. a hollow lattice simplex) of dimension $14$ (resp.$~404$) and of width $15$ (resp.$~408$). They are the first known hollow lattice polytopes of width larger than dimension. We also construct a hollow (non-lattice) tetrahedro...

707 research outcomes, page 3 of 71
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