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Lagrangian fillings of Legendrian 4-plat knots

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Abstract

We characterize which Legendrian 4-plat knots in the standard contact 3-space have exact orientable Lagrangian fillings. As a corollary, we show that the underlying smooth knot types of fillable Legendrian 4-plats are positive.

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Authors and Affiliations

  1. University of Chicago, Chicago, IL, 60637, USA

    Erin R. Lipman

  2. Haverford College, Haverford, PA, 19041, USA

    Joshua M. Sabloff

Authors
  1. Erin R. Lipman
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  2. Joshua M. Sabloff
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Correspondence to Joshua M. Sabloff.

Additional information

JMS and ERL were partially supported by NSF Grant DMS-1406093 in the preparation of this paper.

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Lipman, E.R., Sabloff, J.M. Lagrangian fillings of Legendrian 4-plat knots. Geom Dedicata 198, 35–55 (2019). https://doi.org/10.1007/s10711-018-0328-3

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  • DOI: https://doi.org/10.1007/s10711-018-0328-3

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