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Creators/Authors contains: "Raoux, Katherine"

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  1. ; (, Selecta Mathematica)
    Full Text Available 
  2. ; (, Proceedings of the National Academy of Sciences)
    We conjecture a four-dimensional characterization of tightness: A contact structure on a 3-manifold Y is tight if and only if a slice-Bennequin inequality holds for smoothly embedded surfaces in Y × [ 0,1 ] . An affirmative answer to our conjecture would imply an analogue of the Milnor conjecture for torus knots: If a fibered link L induces a tight contact structure on Y, then its fiber surface maximizes the Euler characteristic among all surfaces in Y × [ 0,1 ] with boundary L. We provide evidence for both conjectures by proving them for contact structures with nonvanishing Ozsváth–Szabó contact invariant. 
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  3. ; ; ; ; ; ; ; (, Association for Women in Mathematics series)
    Acu, Bahar; Cannizzo, Catherine; McDuff, Dusa; Myer, Ziva; Pan, Yu; Traynor, Lisa (Ed.)
    Accepted Manuscript Full Text Available