Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Kwon, Myeonggi"'
Autor:
Kwon, Myeonggi, Oba, Takahiro
We prove the uniqueness, up to diffeomorphism, of symplectically aspherical fillings of the unit cotangent bundle of the $3$-sphere $S^3$ under a certain topological assumption, which Stein fillings automatically satisfy. In the course of the proof,
Externí odkaz:
http://arxiv.org/abs/2402.10363
Autor:
Kim, Joontae, Kwon, Myeonggi
In this paper we study the volume growth in the component of fibered twists in Milnor fibers of Brieskorn polynomials. We obtain a uniform lower bound of the volume growth for a class of Brieskorn polynomials using a Smith inequality for involutions
Externí odkaz:
http://arxiv.org/abs/2306.13896
Autor:
Kwon, Myeonggi, Oba, Takahiro
In this paper we are interested in characterizing the standard contact sphere in terms of dynamically convex contact manifolds which admit a Liouville filling with vanishing symplectic homology. We first observe that if the filling is flexible, then
Externí odkaz:
http://arxiv.org/abs/2303.17405
Autor:
Kim, Joontae, Kwon, Myeonggi
Publikováno v:
Journal of Symplectic Geometry, Vol. 22, Issue 3 (2024), pp. 525-547
In this paper we study the uniqueness of Lagrangian fillings of the standard Legendrian sphere $\mathcal{L}_0$ in the standard contact sphere $(S^{2n-1}, \xi_{\text st})$. We show that every exact Maslov zero Lagrangian filling $L$ of $\mathcal{L}_0$
Externí odkaz:
http://arxiv.org/abs/2112.11984
In this note we study the systoles of convex hypersurfaces in $\mathbb{R}^{2n}$ invariant under an anti-symplectic involution. We investigate a uniform upper bound of the ratio between the systole and the symmetric systole of the hypersurfaces using
Externí odkaz:
http://arxiv.org/abs/2005.12046
Autor:
Kwon, Myeonggi, Oba, Takahiro
We study embeddability of rational ruled surfaces as symplectic hyperplane sections into closed integral symplectic manifolds. From this we obtain results on Stein fillability of Boothby--Wang bundles over rational ruled surfaces.
Comment: The t
Comment: The t
Externí odkaz:
http://arxiv.org/abs/2005.11483
Publikováno v:
J. Fixed Point Theory Appl. 24 (2022), no. 2, Paper No. 21, 26 pp
We characterise boundary shaped disc like neighbourhoods of certain isotropic submanifolds in terms of aperiodicity of Reeb flows. We prove uniqueness of homotopy and diffeomorphism type of such contact manifolds assuming non-existence of short perio
Externí odkaz:
http://arxiv.org/abs/1910.03824
Publikováno v:
J. Topol. Anal. 15 (2023), 683-705
We prove uniqueness, up to diffeomorphism, of symplectically aspherical fillings of certain unit cotangent bundles, including those of higher-dimensional tori.
Comment: 19 pages, 5 figures
Comment: 19 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/1909.13586
We give criteria for the existence of bifurcations of symmetric periodic orbits in reversible Hamiltonian systems in terms of local equivariant Lagrangian Rabinowitz Floer homology. As an example, we consider the family of the direct circular orbits
Externí odkaz:
http://arxiv.org/abs/1909.05351
Autor:
Bae, Hanwool, Kwon, Myeonggi
We give an explicit computation of the ring structure in wrapped Floer homology of a class of real Lagrangians in $A_k$-type Milnor fibers. In the $A_k$-type plumbing description, those Lagrangians correspond to the cotangent fibers or the diagonal L
Externí odkaz:
http://arxiv.org/abs/1904.06894