https://neckpinch.com/authors/christopher-g-evans/New arXiv papers by Christopher G. Evans, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2202.06859/arxiv:2202.06859Mon, 14 Feb 2022 00:00:00 GMTChristopher G. Evans — We prove a Thomas–Yau-type conjecture for monotone Lagrangian tori satisfying a symmetry condition in the complex projective plane ℂP}². We show that such tori exist for all time under Lagrangian mean curvature flow with surgery, undergoing at most a finite number of surgeries before flowing to a minimal Clifford torus in infinite time. Furthermore, we show that we can construct a torus with any finite number of surgeries before convergence. Along the way, we prove many interesting subsidiary results and develop methods which should be useful in studying Lagrangian mean curvature flow in non-Calabi–Yau manifolds, even in non-symmetric cases.Mean curvature flowLagrangian mean curvature flowRicci-flat & Calabi–YauSingularitiesSurgeryKähler geometryLong-time existence & convergence