5 citations · 9 across the 8 of their papers we have counts for
9 papers
Cable links of uniformly thick knot types
Rima Chatterjee, John B. Etnyre, Hyunki Min +1
In this paper, we study Legendrian realizations of cable links of knot types that are uniformly thick but not Legendrian simple, extending prior work of Dalton, the second author,…
Existence and construction of non-loose knots
Rima Chatterjee, John B. Etnyre, Hyunki Min +1
In this paper we give necessary and sufficient conditions for a knot type to admit non-loose Legendrian and transverse representatives in some overtwisted contact structure, classi…
Small symplectic caps and embeddings of homology balls in the complex projective plane
John B. Etnyre, Hyunki Min, Lisa Piccirillo +1
We present a handlebody construction of small symplectic caps, and hence of small closed symplectic 4-manifolds. We use this to construct handlebody descriptions of symplectic embe…
The contact mapping class group and rational unknots in lens spaces
Hyunki Min
We determine the contact mapping class group of the standard contact structures on lens spaces. To prove the main result, we use the one-parametric convex surface theory to classif…
Non-loose torus knots
John B. Etnyre, Hyunki Min, Anubhav Mukherjee
We give a complete coarse classification of Legendrian and transverse torus knots in any contact structure on .
Strongly fillable contact structures without Liouville fillings
Hyunki Min
We introduce a new method to obstruct Liouville and weak fillability. Using this, we show that various rational homology 3-spheres admit strongly fillable contact structures withou…
Cabling Legendrian and transverse knots
Apratim Chakraborty, John B. Etnyre, Hyunki Min
In this paper we will show how to classify Legendrian and transverse knots in the knot type of "sufficiently positive" cables of a knot in terms of the classification of the underl…
On 3-manifolds that are boundaries of exotic 4-manifolds
John B. Etnyre, Hyunki Min, Anubhav Mukherjee
We give several criteria on a closed, oriented 3-manifold that will imply that it is the boundary of a (simply connected) 4-manifold that admits infinitely many distinct smooth str…
Classification of tight contact structures on surgeries on the figure-eight knot
James Conway, Hyunki Min
Two of the basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. We present the first such…