4 papers
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…
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…
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…