30 citations · 52 across the 8 of their papers we have counts for
10 papers
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…
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…
Brunnian exotic surface links in the 4-ball
Kyle Hayden, Alexandra Kjuchukova, Siddhi Krishna +3
This paper investigates the exotic phenomena exhibited by links of disconnected surfaces with boundary that are properly embedded in the 4-ball. Our main results provide two differ…
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…
Knotted surfaces in 4-manifolds and stabilizations
R. Inanc Baykur, Nathan Sunukjian
In this paper, we study stable equivalence of exotically knotted surfaces in 4-manifolds, surfaces that are topologically isotopic but not smoothly isotopic. We prove that any pair…
A note on knot surgery
Nathan Sunukjian
In this paper we clarify an issue in the knot surgery construction of Fintushel and Stern. Using knot surgery, they construct an infinite number of smooth structures on 4-manifolds…
Null-homologous exotic surfaces in 4-manifolds
Neil Hoffman, Nathan Sunukjian
In this paper we exhibit infinite families of embedded tori in 4-manifolds that are topologically isotopic but smoothly distinct. The interesting thing about these tori is that the…
Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery
Nathan Sunukjian
In this paper we will show that two surfaces of the same genus and homology class in a simply connected 4-manifold are concordant. We will show they are often topologically isotopi…
Round handles, logarithmic transforms, and smooth 4-manifolds
R. Inanc Baykur, Nathan Sunukjian
Round handles are affiliated with smooth 4-manifolds in two major ways: 5-dimensional round handles appear extensively as the building blocks in cobordisms between 4-manifolds, whe…
Exotic group actions on simply connected smooth 4-manifolds
Ronald Fintushel, Ronald J. Stern, Nathan Sunukjian
We produce infinite families of exotic actions of finite cyclic groups on simply connected smooth 4-manifolds with nontrivial Seiberg-Witten invariants.