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math-ph2025
Modular transformations of tau functions and conformal blocks on the torus
Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
The connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants de…
math-ph2025
Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
Harini Desiraju, Sampad Lahiry
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on ellip…