Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Bae, Youngjin"'
Autor:
Asplund, Johan, Bae, Youngjin, Capovilla-Searle, Orsola, Castronovo, Marco, Leverson, Caitlin, Wu, Angela
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 order on strata induced by Zariski closure also has a symplectic interp
Externí odkaz:
http://arxiv.org/abs/2305.16232
We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of finite type $\mathsf{ADE}$ or affine type $\tilde{\mathsf{D}} \tilde{\mathsf{E}}$. We also provide as many Lagrangian fillings with rotationa
Externí odkaz:
http://arxiv.org/abs/2201.00208
We prove that there are at least as many exact embedded Lagrangian fillings as seeds for Legendrian links of affine type $\tilde{\mathsf{D}} \tilde{\mathsf{E}}$. We also provide as many Lagrangian fillings with certain symmetries as seeds of type $\t
Externí odkaz:
http://arxiv.org/abs/2107.04283
We prove that there are at least seeds many exact embedded Lagrangian fillings for Legendrian links of type $\mathsf{ADE}$. We also provide seeds many Lagrangian fillings with certain symmetries for type $\mathsf{BCFG}$. Our main tools are $N$-graphs
Externí odkaz:
http://arxiv.org/abs/2101.01943
Autor:
Bae, Youngjin
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 Frame-Stewart conjecture.
Externí odkaz:
http://arxiv.org/abs/2007.08131
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 unital $A_{\infty}$-category, which lifts the set of augmentations of
Externí odkaz:
http://arxiv.org/abs/1912.10782
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 2079-2185
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 over a finite field, for the augmentation variety of the associated Chek
Externí odkaz:
http://arxiv.org/abs/1911.11563
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 first two authors, has an augmentation. We set up the usual ruling poly
Externí odkaz:
http://arxiv.org/abs/1911.08668
This is a sequel to the authors' article [BKO](arXiv:1901.02239). We consider a hyperbolic knot $K$ in a closed 3-manifold $M$ and the cotangent bundle of its complement $M \setminus K$. We equip $M \setminus K$ with a hyperbolic metric $h$ and its c
Externí odkaz:
http://arxiv.org/abs/1901.02258
This is the first of a series of two articles where we construct a version of wrapped Fukaya category $\mathcal W\mathcal F(M\setminus K;H_{g_0})$ of the cotangent bundle $T^*(M \setminus K)$ of the knot complement $M \setminus K$ of a compact 3-mani
Externí odkaz:
http://arxiv.org/abs/1901.02239