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math.DG2026
Universal Hitchin moduli spaces
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +1
We study metric aspects of the universal moduli space of solutions to Hitchin's equations as the complex structure varies over the Teichmüller space of a closed s…
math.DG2023
Vertex algebras from the Hull-Strominger system
Luis Álvarez-Cónsul, Andoni De Arriba de La Hera, Mario Garcia-Fernandez
Motivated by the programme on mirror symmetry for non-Kähler manifolds, we construct representations of the superconformal vertex algebra associated to solutions of the Hull-…