More Like this

1. Special eccentricities of rational four-dimensional ellipsoids

   https://doi.org/10.2140/agt.2022.22.2267  

   Cristofaro-Gardiner, Dan (January 2022, Algebraic & Geometric Topology)
2. Four-dimensional reflection groups and electrostatics

   https://doi.org/10.1016/j.aop.2020.168291  

   Olshanii, Maxim; Styrkas, Yuri; Yampolsky, Dmitry; Dunjko, Vanja; Jackson, Steven G. (October 2020, Annals of Physics)

   null (Ed.)
3. Four-dimensional loop-erased random walk

   https://doi.org/10.1214/19-AOP1349  

   Lawler, Gregory; Sun, Xin; Wu, Wei (November 2019, The Annals of Probability)

   null (Ed.)
4. Symplectic embeddings of four-dimensional polydisks into balls

   https://doi.org/10.2140/agt.2018.18.2151  

   Christianson, Katherine; Nelson, Jo (January 2018, Algebraic & Geometric Topology)
5. Four-dimensional aspects of tight contact 3-manifolds

   https://doi.org/10.1073/pnas.2025436118  

   Hedden, Matthew; Raoux, Katherine (May 2021, Proceedings of the National Academy of Sciences)

   We conjecture a four-dimensional characterization of tightness: A contact structure on a 3-manifold Y is tight if and only if a slice-Bennequin inequality holds for smoothly embedded surfaces in $Y\times \left[\mathrm{0,1}\right]$. An affirmative answer to our conjecture would imply an analogue of the Milnor conjecture for torus knots: If a fibered link L induces a tight contact structure on Y, then its fiber surface maximizes the Euler characteristic among all surfaces in $Y\times \left[\mathrm{0,1}\right]$with boundary L. We provide evidence for both conjectures by proving them for contact structures with nonvanishing Ozsváth–Szabó contact invariant. 

   more » « less