exotic knottings 1hyperbolic geometry 1mapping class groups 1rim surgery 1seiberg-witten invariants 1surfaces in 4-manifolds 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.GT2026
Exotic knottings and symmetries of surfaces in 4-manifolds
R. Inanc Baykur, Nathan Sunukjian
The paper investigates exotic knottings of surfaces inside 4‑manifolds by analyzing how ambient diffeomorphisms act on homology, constructing families of genus‑g surfaces with cont…
math.GT2026
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…