4 papers
The Algebraic Montgomery-Yang Problem
Woohyeok Jo, Jongil Park, Kyungbae Park
We completely resolve the algebraic Montgomery - Yang problem, a conjecture of Kollar stating that every rational homology projective plane with quotient singularities and a simply…
On lens spaces bounding smooth 4-manifolds with
Woohyeok Jo, Jongil Park, Kyungbae Park
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…
On rational homology projective planes with quotient singularities of small indices
Woohyeok Jo, Jongil Park, Kyungbae Park
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 sm…
Algebraic Montgomery-Yang problem and smooth obstructions
Woohyeok Jo, Jongil Park, Kyungbae Park
Let be a rational homology complex projective plane with quotient singularities. The algebraic Montgomery-Yang problem conjectures that the number of singular points of is…