Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Kim, Joontae"'
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:
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
Autor:
Kim, Joontae, Moon, Jiyeon
We show that the space of anti-symplectic involutions of a monotone $S^2\times S^2$ whose fixed points set is a Lagrangian sphere is connected. This follows from a stronger result, namely that any two anti-symplectic involutions in that space are Ham
Externí odkaz:
http://arxiv.org/abs/2104.10007
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:
Kim, Joontae
We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone $S^2\times S^2$, namely any real Lagrangian torus in $S^2\times S^2$ is Hamiltonian isotopic to the Clifford torus $\mathbb{T}_{\text{Clif}}$. The proof is based on a neck
Externí odkaz:
http://arxiv.org/abs/2003.04528
We explore the topology of real Lagrangian submanifolds in a toric symplectic manifold which come from involutive symmetries on its moment polytope. We establish a real analog of the Delzant construction for those real Lagrangians, which says that th
Externí odkaz:
http://arxiv.org/abs/1912.10470
Autor:
Kim, Joontae
We prove that the count of Maslov index 2 $J$-holomorphic discs passing through a generic point of a real Lagrangian submanifold in a closed spherically monotone symplectic manifold must be even. As a corollary, we exhibit a genuine real symplectic p
Externí odkaz:
http://arxiv.org/abs/1909.09972
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:
Kim, Joontae
We prove that a real Lagrangian submanifold in a closed symplectic manifold is unique up to cobordism. We then discuss the classification of real Lagrangians in $\mathbb{C} P^2$ and $S^2\times S^2$. In particular, we show that a real Lagrangian in $\
Externí odkaz:
http://arxiv.org/abs/1902.01302
The aim of this article is to apply a Floer theory to study symmetric periodic Reeb orbits. We define positive equivariant wrapped Floer homology using a (anti-)symplectic involution on a Liouville domain and investigate its algebraic properties. By
Externí odkaz:
http://arxiv.org/abs/1811.08099