Browsing by Author "Gay, David T"

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    Exotic 4-manifolds
    (2008) Bodenham, Dean; Gay, David T
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    On grid diagrams, braids and Markov moves
    (2010) Ayivor, Audry F; Gay, David T
    Grid diagrams are essential in the new combinatorial version [MOST07] of the Heegaard Floer knot homology, and proving that these homologies are actually knot and link invariants depends on knowing that two grid diagrams representing isotopic links are related by grid moves. The purpose of this paper is to prove this fact. This result has already been proved by Cromwell [CrogS] and Dynnikov [Dyn06]. We present a new proof which is built upon Markov's theorem involving moves on braid words and link isotopy.