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arXiv · 1906.07128

Weak Geodesics for the deformed Hermitian-Yang-Mills equation

Adam Jacob
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Abstract

We study weak geodesics in the space of potentials for the deformed Hermitian-Yang-Mills equation. The geodesic equation can be formulated as a degenerate elliptic equation, allowing us to employ nonlinear Dirichlet duality theory, as developed by Harvey-Lawson. By exploiting the convexity of the level sets of the Lagrangian angle operator in the highest branch, we are able to construct continuous solutions of the associated Dirichlet problem.

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Adam Jacob. 2019-06-17. Weak Geodesics for the deformed Hermitian-Yang-Mills equation. https://arxiv.org/abs/1906.07128

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