3 papers
math.GT2026
Exotic knottings and symmetries of surfaces in 4-manifolds
R. Inanc Baykur, Nathan Sunukjian
We study exotic knottings of surfaces in 4-manifolds through their ambient symmetries. We first give a general recipe for producing projectively rigid surfaces, for which every smo…
math.GT2024
Exotic aspherical 4-manifolds
Michael Davis, Kyle Hayden, Jingyin Huang +2
We construct closed, aspherical, smooth 4-manifolds that are homeomorphic but not diffeomorphic. These provide counterexamples to a smooth analog of the Borel conjecture in dimensi…
math.GT2019
0-Concordance of 2-knots
Nathan Sunukjian
In this paper we investigate the 0-concordance classes of 2-knots in , an equivalence relation that is related to understanding smooth structures on 4-manifolds. Using Rochlin…