Duality of Hessian manifolds and optimal transport

Published 20 Jun 2023 in math.DG | (2306.11819v1)

Abstract: This is an expository paper describing how duality theory for Hessian manifolds provides a natural setting for optimal transport. We explain how this can be used to solve Monge-Amp`ere equations and survey recent results along these lines with applications to the SYZ-conjecture in mirror symmetry.

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Authors (1)

Jakob Hultgren

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