14 citations · 48 across the 17 of their papers we have counts for
18 papers
Lagrangian cobordism of positroid links
Johan Asplund, Youngjin Bae, Orsola Capovilla-Searle +3
Casals-Gorsky-Gorsky-Simental realized all positroid strata of the complex Grassmannian as augmentation varieties of Legendrians called positroid links. We prove that the partial o…
Lagrangian fillings for Legendrian links of finite or affine Dynkin type
Byung Hee An, Youngjin Bae, Eunjeong Lee
We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of finite type or affine type $\tilde{\mathsf{D}} \tilde{\m…
Lagrangian fillings for Legendrian links of affine type
Byung Hee An, Youngjin Bae, Eunjeong Lee
We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of affine type . We also provide as…
Lagrangian fillings for Legendrian links of finite type
Byung Hee An, Youngjin Bae, Eunjeong Lee
We prove that there are at least seeds many exact embedded Lagrangian fillings for Legendrian links of type . We also provide seeds many Lagrangian fillings with cert…
On the Frame-Stewart Conjecture
Youngjin Bae
The Frame-Stewart conjecture states the least number of moves to solve a generalized Tower of Hanoi problem, of n disks and p pegs. In this paper, we prove a weaker version of the…
Augmentations are sheaves for Legendrian graphs
Byung Hee An, Youngjin Bae, Tao Su
In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence between two categorical Legendrian isotopy invariants: the augmentation category, a…
Augmentations and ruling polynomials for Legendrian graphs
Byung Hee An, Youngjin Bae, Tao Su
In this article, associated to a (bordered) Legendrian graph, we study and show the equivalence between two Legendrian isotopy invariants: augmentation number via point-counting ov…
Ruling invariants for Legendrian graphs
Byung Hee An, Youngjin Bae, Tamás Kálmán
We define ruling invariants for even-valence Legendrian graphs in standard contact three-space. We prove that rulings exist if and only if the DGA of the graph, introduced by the f…
Formality of Floer complex of the ideal boundary of hyperbolic knot complement
Youngjin Bae, Seonhwa Kim, Yong-Geun Oh
This is a sequel to the authors' article [BKO](arXiv:1901.02239). We consider a hyperbolic knot in a closed 3-manifold and the cotangent bundle of its complement $M \setmin…
A wrapped Fukaya category of knot complement
Youngjin Bae, Seonhwa Kim, Yong-Geun Oh
This is the first of a series of two articles where we construct a version of wrapped Fukaya category of the cotangent bundle $T^*(M \s…
Review on rationality problems of algebraic k-tori
Youngjin Bae
Rationality problems of algebraic k-tori are closely related to rationality problems of the invariant field, also known as Noether's Problem. We describe how a function field of al…
A Chekanov-Eliashberg algebra for Legendrian graphs
Byung Hee An, Youngjin Bae
We define a differential graded algebra for Legendrian graphs and tangles in the standard contact Euclidean three space. This invariant is defined combinatorially by using ideas fr…
Periodic orbits in virtually contact structures
Youngjin Bae, Kevin Wiegand, Kai Zehmisch
We prove that certain non-exact magnetic Hamiltonian systems on products of closed hyperbolic surfaces and with a potential function of large oscillation admit non-constant contrac…
Legendrian singular links and singular connected sums
Byung Hee An, Youngjin Bae, Seonhwa Kim
We study Legendrian singular links up to contact isotopy. Using a special property of the singular points, we define the singular connected sum of Legendrian singular links. This c…
An overtwisted disk in a virtual contact structure and the Weinstein conjecture
Youngjin Bae
Hofer proved the Weinstein conjecture for a closed contact 3-manifold with an overtwisted disk. In this article we extend it to the virtual contact structure and provide a new expl…
The growth sequence of symplectomorphisms on symplectically hyperbolic manifolds
Youngjin Bae
We study the growth rate of a sequence which measures the uniform norm of the differential under the iterates of maps. On symplectically hyperbolic manifolds, we show that this seq…
On magnetic leaf-wise intersections
Youngjin Bae
In this article we introduce the notion of a magnetic leaf-wise intersection point which is a generalization of the leaf-wise intersection point with magnetic effects. We also prov…
Continuation homomorphism in Rabinowitz Floer homology for symplectic deformations
Youngjin Bae, Urs Frauenfelder
Will Merry computed Rabinowitz Floer homology above Mane's critical value in terms of loop space homology by establishing an Abbondandolo-Schwarz short exact sequence. The purpose…