8 citations · 20 across the 8 of their papers we have counts for
8 papers · 1 filter
On slice pretzel links
Sophia Fanelle, Evan Huang, Ben Huenemann +3
A link is called slice if it bounds a smooth properly embedded surface in the 4-ball with no closed components and Euler characteristic 1. If a link has a single component, the…
On chain link surgeries bounding rational homology balls and -slice 3-braid closures
Vitalijs Brejevs, Jonathan Simone
We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently d…
Geography of symplectic Lefschetz fibrations and rational blowdowns
R. Inanc Baykur, Mustafa Korkmaz, Jonathan Simone
We produce simply connected, minimal, symplectic Lefschetz fibrations realizing all the lattice points in the symplectic geography plane below the Noether line. This provides a sym…
On the nonorientable four-ball genus of torus knots
Fraser Binns, Sungkyung Kang, Jonathan Simone +1
The nonorientable four-ball genus of a knot in is the minimal first Betti number of nonorientable surfaces in bounded by . By amalgamating ideas from involutive…
Classification of torus bundles that bound rational homology circles
Jonathan Simone
In this article, we completely classify torus bundles over the circle that bound 4-manifolds with the rational homology of the circle. Along the way, we classify certain integral s…
Using rational homology circles to construct rational homology balls
Jonathan Simone
Motivated by Akbulut-Larson's construction of Brieskorn spheres bounding rational homology 4-balls, we explore plumbed 3-manifolds that bound rational homology circles and use them…
Tight contact structures on some plumbed 3-manifolds
Jonathan Simone
In this article, we prove a generalization of a theorem of Lisca-Matic to Stein cobordisms and develop a method for distinguishing certain Stein cobordisms using rotation numbers.…
Symplectically replacing plumbings with Euler characteristic 2 4-manifolds
Jonathan Simone
We introduce new symplectic cut-and-paste operations that generalize the rational blowdown. In particular, we will define -replaceable plumbings to be those that, heuristically,…