Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Min, Hyunki"'
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 planar spinal open book is deformation equivalent to the complement of a
Externí odkaz:
http://arxiv.org/abs/2410.10697
Autor:
Min, Hyunki, Varvarezos, Konstantinos
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 derive contact invariants in the bordered sutured modules $\widehat{\math
Externí odkaz:
http://arxiv.org/abs/2410.05511
Autor:
Min, Hyunki, Nonino, Isacco
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 also determine which of the tight contact structures are Stein fillable a
Externí odkaz:
http://arxiv.org/abs/2311.14103
Autor:
Fernández, Eduardo, Min, Hyunki
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 homotopy type of the space of Legendrian embeddings of sufficiently p
Externí odkaz:
http://arxiv.org/abs/2310.12385
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, classify all non-loose rational unknots in lens spaces, and discuss conditio
Externí odkaz:
http://arxiv.org/abs/2310.04908
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 embeddings of rational homology balls in $\mathbb{C}\mathrm{P}^2$, and the
Externí odkaz:
http://arxiv.org/abs/2305.16207
Autor:
Min, Hyunki
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 classify Legendrian and transverse rational unknots in any tight contact stru
Externí odkaz:
http://arxiv.org/abs/2207.03590
We give a complete coarse classification of Legendrian and transverse torus knots in any contact structure on $S^3$.
Comment: 106 pages, 26 figures
Comment: 106 pages, 26 figures
Externí odkaz:
http://arxiv.org/abs/2206.14848
Autor:
Min, Hyunki
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 without Liouville fillings, which extends the result of Ghiggini on a family
Externí odkaz:
http://arxiv.org/abs/2205.09912
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 underlying knot. We will also completely explain the phenomena of "Legendria
Externí odkaz:
http://arxiv.org/abs/2012.12148