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Representations of the Witt Algebra and Gl(n)-Opers
Authors:Francisco Jose Plaza Martín
Affiliation:1. Departamento de Matemáticas y IUFFYM, Universidad de Salamanca, Plaza de la Merced 1-4, 37008, Salamanca, Spain
Abstract:We exhibit a new link between certain representations of the Witt algebra and some Gl(n)-opers on the punctured disc. As applications, we discuss the connection with the KdV hierarchy and Virasoro constraints and how the Virasoro constraints of the so-called topological recursion fit in our approach.
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