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Christopher Cornwell

  1. A polynomial invariant for links in lens spaces.

    Втр, 02/09/2010 - 16:01 — SomNambul
    Authors: Christopher Cornwell
    Subjects: Geometric Topology
    Abstract

    We prove the existence of a polynomial invariant that satisfies the HOMFLY
    skein relation for links in a lens space. In the process we also develop a
    skein theory of toroidal grid diagrams in a lens space.

  2. Bennequin type inequalities in lens spaces.

    Втр, 02/09/2010 - 16:01 — SomNambul
    Authors: Christopher Cornwell
    Subjects: Geometric Topology
    Abstract

    We give general criteria for an invariant of lens space links to bound the
    maximal self-linking number in certain tight contact lens spaces. As a
    corollary we extend the Franks-Williams-Morton inequality to the setting of
    lens spaces.

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