3 papers
math.GT2024
An exotic 5RP^2 in the 4-sphere
Gordana MatiÄ, Ferit Ãztürk, Javier Reyes +2
We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.
math.GT2024
Smooth structures on four-manifolds with finite cyclic fundamental groups
R. Inanc Baykur, Andras I. Stipsicz, Zoltan Szabo
For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions…
math.GT2024
A note on surfaces in and
Marco Marengon, Allison N. Miller, Arunima Ray +1
In this brief note, we investigate the -genus of knots, i.e. the least genus of a smooth, compact, orientable surface in boun…