4 papers
math.GT2026
Exotic 's as unions of two thickened circles
Sean Eli
We give an infinite family of non-diffeomorphic exotic 's, each of which is the union of two copies of a standard open tubular neighborhood of the circle, which inter…
math.GT2026
Irreducible proper 2-knots from exotic open 2-handles
Sean Eli
We construct infinite families of irreducible exotic proper knotted surfaces in , making progress on a question of Gompf. Here irreducible means these surfaces are no…
math.GT2026
Exotic 's, RBG Links, and End Floer Homology
Sean Eli, Shunyu Wan
We give the first pair of non-diffeomorphic exotic 's made by attaching diffeomorphic Casson handles onto diffeomorphic disk complements. Our examples are obtained us…
math.GT2026
Distinguishing exotic 's with Heegaard Floer homology
Sean Eli, Jennifer Hom, Tye Lidman
Attaching a Casson handle to a slice disk complement yields a smooth 4-manifold that is homeomorphic to . We show that if two slice knots have sufficiently different…