We will revisit the computations of Stokes matrices for tt*-structures done by Cecotti and Vafa in the 90's in the context of Frobenius manifolds and the so-called monodromy identity. We will argue that those cases provide examples of non-commutative Hodge structures of exponential type in the sense of Katzarkov, Kontsevich and Pantev.
Talk slides: On integral Stokes matrices