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arXiv · 1511.08550

Lagrangian cobordism and metric invariants

Octav Cornea·Egor Shelukhin
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Abstract

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 $\mathbb{C} \times M$ to the "time-energy plane" $\mathbb{C}$. We investigate the non-degeneracy properties of these pseudo-metrics, reflecting the rigidity and flexibility aspects of Lagrangian cobordisms.

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Octav Cornea, Egor Shelukhin. 2015-11-27. Lagrangian cobordism and metric invariants. https://arxiv.org/abs/1511.08550

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