12 citations · 40 across the 17 of their papers we have counts for
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math.SG2017★ 12 cited
Quasipositive links and Stein surfaces
Kyle Hayden
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, pro…
math.SG2013★ 3 cited
Topologically Distinct Lagrangian and Symplectic Fillings
Chang Cao, Nathaniel Gallup, Kyle Hayden +1
We construct infinitely many Legendrian links in the standard contact with arbitrarily many topologically distinct Lagrangian fillings. The construction is used to f…
math.SG2013
Positive Knots and Lagrangian Fillability
Kyle Hayden, Joshua M. Sabloff
This paper explores the relationship between the existence of an exact embedded Lagrangian filling for a Legendrian knot in the standard contact $\rr^3$ and the hierarchy of positi…