Corpus ID: 119168021

Quasipositive links and Stein surfaces

@article{Hayden2017QuasipositiveLA,
  title={Quasipositive links and Stein surfaces},
  author={Kyle Hayden},
  journal={arXiv: Symplectic Geometry},
  year={2017}
}
  • Kyle Hayden
  • Published 2017
  • Mathematics
  • arXiv: Symplectic Geometry
We study the generalization of quasipositive links from the three-sphere to arbitrary closed, orientable three-manifolds. Our main result shows that the boundary of any smooth, properly embedded complex curve in a Stein domain is a quasipositive link. This generalizes a result due to Boileau and Orevkov, and it provides the first half of a topological characterization of links in three-manifolds which bound complex curves in a Stein filling. Our arguments replace pseudoholomorphic curve… Expand
11 Citations

Figures from this paper

Exotic ribbon disks and symplectic surfaces.
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Legendrian ribbons and strongly quasipositive links in an open book
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Cross-sections of unknotted ribbon disks and algebraic curves
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Symplectic hats
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Surfaces in $D^4$ with the same boundary and fundamental group
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