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math.AG2019
Iterated integrals on affine curves
Martin Luu, Albert Schwarz
Motivated by amplitude calculations in string theory we establish basic properties of homotopy invariant iterated integrals on affine curves.
math-ph2019
Rigidity of Kac-Schwarz operators
Martin Luu
In his work on the mathematical formulation of 2d quantum gravity Schwarz established a rigidity result for Kac-Schwarz operators for the n-KdV hierarchies. Later on, Adler and van…
math-ph2019★ 1 cited
Spectral curve duality beyond the two-matrix model
Martin Luu
We describe a simple algebraic approach to several spectral duality results for integrable systems and illustrate the method for two types of examples: The Bertola-Eynard-Harnad sp…