6 papers
Tight surgeries on torus knots
John B. Etnyre, Hyunki Min, Bülent Tosun +1
We give a complete classification of tight contact structures on manifolds obtained from any surgery along any torus knot, which provides the first such classification on an infini…
Bordered contact invariants and half Giroux torsion
Hyunki Min, Konstantinos Varvarezos
We show that there exist infinitely many closed contact 3-manifolds containing half Giroux torsion along a separating torus whose contact invariants do not vanish. This provides co…
On contact invariants in bordered Floer homology
Hyunki Min, Konstantinos Varvarezos
In this paper, we define contact invariants in bordered sutured Floer homology. Given a contact 3-manifold with convex boundary, we apply a result of Zarev (arxiv:1010.3496) to der…
Spinal open books and symplectic fillings with exotic fibers
Hyunki Min, Agniva Roy, Luya Wang
Spinal open book decompositions provide a natural generalization of open book decompositions. We show that any minimal symplectic filling of a contact 3-manifold supported by a pla…
Tight contact structures on a family of hyperbolic L-spaces
Hyunki Min, Isacco Nonino
We classify tight contact structures on various surgeries on the Whitehead link, which provides the first classification result on an infinite family of hyperbolic L-spaces. We als…
Spaces of Legendrian cables and Seifert fibered links
Eduardo Fernández, Hyunki Min
We determine the homotopy type of the spaces of several Legendrian knots and links with the maximal Thurston--Bennequin invariant. In particular, we give a recursive formula of the…