no code implementations • 18 Apr 2023 • Sergei Gukov, James Halverson, Ciprian Manolescu, Fabian Ruehle
We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk.
no code implementations • 8 Feb 2021 • Ciprian Manolescu, Lisa Piccirillo
One strategy for distinguishing smooth structures on closed $4$-manifolds is to produce a knot $K$ in $S^3$ that is slice in one smooth filling $W$ of $S^3$ but not slice in some homeomorphic smooth filling $W'$.
Geometric Topology 57K10, 57K40, 57R60
1 code implementation • 28 Jan 2014 • Ciprian Manolescu
This is a survey article about knot Floer homology.
Geometric Topology Quantum Algebra 57M27 (Primary), 57R58, 57M25 (Secondary)