2015/11/27 by Cornea, Octav, Shelukhin, Egor
#FOS: Mathematics #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.1511.08550
We introduce new pseudo-metrics on spaces of Lagrangian submanifolds of a symplectic manifold (M,ω) by considering areas associated to projecting Lagrangian cobordisms in ℂ × M to the "time-energy plane" ℂ. We investigate the non-degeneracy properties of these pseudo-metrics, reflecting the rigidity and flexibility aspects of Lagrangian cobordisms.