1,721,012 research outputs found

    Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds

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    Code and data to accompany the paper of the same name

    A census of exceptional Dehn fillings

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    This dataset gives the complete list of all 205,822 exceptional Dehn fillings on the 1-cusped hyperbolic 3-manifolds that have ideal triangulations with at most 9 ideal tetrahedra

    Counting essential surfaces in 3-manifolds

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    Code and data to accompany the paper of the same name by N. M. Dunfield, S. Garoufalidis, and J. H. Rubinstein

    A census of exceptional Dehn fillings

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    This dataset gives the complete list of all 205,822 exceptional Dehn fillings on the 1-cusped hyperbolic 3-manifolds that have ideal triangulations with at most 9 ideal tetrahedra

    Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds

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    Code and data to accompany the paper of the same name

    Code and data for computing a link diagram from its exterior

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    Code and data to accompany the paper of the same name

    Code and data for comparing 1-loop invariants and torsions

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    Code and data to accompany the below paper, detailing the computations in Section 5

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed

    Gluing constructions for Higgs bundles over a complex connected sum

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    For a compact Riemann surface of genus g2g\ge 2, the components of the moduli space of Sp(4,R)\text{Sp(4}\text{,}\mathbb{R}\text{)}-Higgs bundles, or equivalently the Sp(4,R)\text{Sp(4}\text{,}\mathbb{R}\text{)}-character variety, are partially labeled by an integer dd known as the Toledo invariant. The subspace for which this integer attains a maximum has been shown to have 322g+2g43\cdot {{2}^{2g}}+2g-4 many components. A gluing construction between parabolic Higgs bundles over a connected sum of Riemann surfaces provides model Higgs bundles in a subfamily of particular significance. This construction is formulated in terms of solutions to the Hitchin equations, using the linearization of a relevant elliptic operator.Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-08-31 without embargo termsThe student, Georgios Kydonakis, accepted the attached license on 2018-03-31 at 09:22.The student, Georgios Kydonakis, submitted this Dissertation for approval on 2018-03-31 at 09:33.This Dissertation was approved for publication on 2018-04-02 at 11:58.DSpace SAF Submission Ingestion Package generated from Vireo submission #12105 on 2018-08-31 at 17:10:26Made available in DSpace on 2018-09-04T20:26:48Z (GMT). No. of bitstreams: 3 KYDONAKIS-DISSERTATION-2018.pdf: 1114856 bytes, checksum: 8b2ee8f481d728c6357b1ddfc904a4b0 (MD5) LICENSE.txt: 4215 bytes, checksum: 657631987c143a1797de5e8afcfbb49b (MD5) PROQUEST_LICENSE.txt: 4561 bytes, checksum: f225b7acf388c71665e53d19fec16ef3 (MD5) Previous issue date: 2018-04-0
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