4 papers · 1 filter
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…
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…
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…