Zobrazeno 1 - 10
of 119
pro vyhledávání: '"Park, Jongil"'
We study which lens spaces can bound smooth 4-manifolds with second Betti number one under various topological conditions. Specifically, we show that there are infinite families of lens spaces that bound compact, simply-connected, smooth 4-manifolds
Externí odkaz:
http://arxiv.org/abs/2410.22719
In this article, we study the effects of topological and smooth obstructions on the existence of rational homology complex projective planes that admit quotient singularities of small indices. In particular, we provide a classification of the types o
Externí odkaz:
http://arxiv.org/abs/2410.22708
Let $S$ be a rational homology complex projective plane with quotient singularities. The algebraic Montgomery-Yang problem conjectures that the number of singular points of $S$ is at most three if its smooth locus is simply-connected. In this paper,
Externí odkaz:
http://arxiv.org/abs/2402.04569
Autor:
Choi, Hakho, Park, Jongil
In this paper, we investigate a relation between rational blowdown surgery and minimal symplectic fillings of a given Seifert 3-manifold with a canonical contact structure. Consequently, we determine a necessary and sufficient condition for a minimal
Externí odkaz:
http://arxiv.org/abs/2207.12663
Publikováno v:
In Building and Environment 1 August 2023 241
Autor:
Choi, Hakho, Park, Jongil
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 3497-3530
In this paper, we investigate the minimal symplectic fillings of small Seifert 3-manifolds with a canonical contact structure. As a result, we classify all minimal symplectic fillings of small Seifert 3-manifolds satisfying certain conditions. Furthe
Externí odkaz:
http://arxiv.org/abs/1904.04955
Autor:
Choi, Hakho, Park, Jongil
In this article, we construct a genus-$0$ or genus-$1$ positive allowable Lefschetz fibration on any minimal symplectic filling of the link of non-cyclic quotient surface singularities. As a byproduct, we also show that any minimal symplectic filling
Externí odkaz:
http://arxiv.org/abs/1802.03304
In this article we prove that, if $X$ is a smooth $4$-manifold containing an embedded double node neighborhood, all knot surgery $4$-manifolds $X_K$ are mutually diffeomorphic to each other after a connected sum with $\mathbb{CP}^2$. Hence, by applyi
Externí odkaz:
http://arxiv.org/abs/1704.02181
Publikováno v:
In Journal of Building Engineering November 2021 43
In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth $2$-spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.
Externí odkaz:
http://arxiv.org/abs/1508.03724