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Richard Antony Hepworth

Dr

    • AB24 3UE

    • 24 Citations
    20072017
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    Research Output 2007 2017

    • 24 Citations
    • 8 Article
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    Article
    2017
    1 Citation (Scopus)
    8 Downloads (Pure)

    Categorifying the magnitude of a graph

    Hepworth, R. & Willerton, S., 2017, In : Homology, Homotopy and Applications. 19, 2, p. 31-60 30 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Graph in graph theory
    Homology
    Khovanov Homology
    Jones Polynomial
    Euler Characteristic
    2016
    1 Citation (Scopus)
    6 Downloads (Pure)

    Homological stability for families of Coxeter groups

    Hepworth, R., 7 Nov 2016, In : Algebraic & Geometric Topology. 16, 5, p. 2779-2811 33 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Coxeter Group
    Barycentric Subdivision
    Homology
    Deduce
    Connectivity
    2015
    2 Citations (Scopus)
    4 Downloads (Pure)

    On string topology of classifying spaces

    Hepworth, R. & Lahtinen, A., 20 Aug 2015, In : Advances in Mathematics. 281, p. 394-507 114 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Classifying Space
    Diffeomorphism Group
    Strings
    Topology
    Homology
    2014
    1 Citation (Scopus)
    8 Downloads (Pure)

    Configuration spaces and theta_n

    Ayala, D. & Hepworth, R., Jul 2014, In : Proceedings of the American Mathematical Society. 142, p. 2243-2254 12 p.

    Research output: Contribution to journalArticle

    Open Access
    File
    Configuration Space
    Homotopy Theory
    Homotopy Type
    Combinatorics
    Infinity
    2013

    Groups, cacti and framed little discs

    Hepworth, R., May 2013, In : Transactions of the American Mathematical Society. 365, 5, p. 2597-2636 40 p.

    Research output: Contribution to journalArticle

    Cactus
    Operad
    Algebra
    Classifying Space
    Topological group
    2009
    5 Citations (Scopus)

    Morse Inequalities for Orbifold Cohomology

    Hepworth, R., 2 Jun 2009, In : Algebraic & Geometric Topology. 9, 2, p. 1105-1175 71 p.

    Research output: Contribution to journalArticle

    Morse Inequalities
    Orbifold
    Cohomology
    Morse Theory
    Differentiable

    Vector fields and flows on differentiable stacks

    Hepworth, R., 2009, In : Theory and Applications of Categories. 22, 21, p. 542-587 46 p.

    Research output: Contribution to journalArticle

    Open Access
    Differentiable
    Vector Field
    Categorification
    Morse Theory
    Tangent Bundle
    2007
    3 Citations (Scopus)

    The topology of certain 3-Sasakian 7-Manifolds

    Hepworth, R. A., 2007, In : Mathematische Annalen. 339, 4, p. 733–755 23 p.

    Research output: Contribution to journalArticle

    Cohomology Ring
    Topology
    Stable Bundle
    Tangent Bundle
    Combinatorics