4 papers · 1 filter
Planar multilinks and rational singularities
Márton Beke, Olga Plamenevskaya
Fibered multilinks are a generalization of classical fibered knots and open books that arise in the study of surface singularities and Milnor fibrations. We prove that if the canon…
An Unexpected Rational Blowdown
Márton Beke, Olga Plamenevskaya, Laura Starkston
The rational blowdown operation in 4-manifold topology replaces a neighborhood of a configuration of spheres by a rational homology ball. Such configurations typically arise from r…
A knot-theoretic tour of dimension four
Márton Beke, Kyle Hayden
These notes follow a lecture series at the "Singularities and low dimensional topology" winter school at the Rényi Institute in January 2023, with a target audience of graduate stu…
New Exotic four-manifolds with fundamental group
Márton Beke, László Koltai, Sarah Zampa
We extend a construction of Stipsicz-Szabó of infinitely many irreducible exotic smooth structures of some closed four-manifolds with even and fundamental group $\mathbb{Z}…