3 papers
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
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…