Lagrangian capacity of convex/concave toric domains equals their diagonal, settling the ellipsoid conjecture with equivariant string topology methods.
Irie,A conjectural chain model for positiveS 1-equivariant symplectic homology of star-shaped toric domains inC 2, arXiv:2304.08720
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Lagrangian capacity and chain level string topology
Lagrangian capacity of convex/concave toric domains equals their diagonal, settling the ellipsoid conjecture with equivariant string topology methods.