Potential functions via toric degenerations

Abstract

This is a short companion paper to arXiv:0810.3470. We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the potential function for its Lagrangian torus fibers if the central fiber is a toric Fano variety admitting a small resolution.

14 pages, no figures. v2: removed errors from an earlier version of arXiv:0810.3470, and added discussions on quadric surface

References in corpus (2)

• Lagrangian Floer theory on compact toric manifolds II : Bulk deformations
• Disc counting on toric varieties via tropical curves

Cited by in corpus (3)

• Toric degeneration and non-displaceable Lagrangian tori in $S^2\times S^2$
• On SYZ mirror transformations
• Pseudotoric structures and special Lagrangian torus fibrations on certain flag varieties