The first chapter is a brief review on Frobenius manifolds and integrable systems. In the second chapter we recall the construction of the bihamiltonian structure for the 2D Toda hierarchy using R-matrix theory. Although the procedure is the same as in , a new R-matrix is proposed to provide a new bihamiltonian structure in the dispersionless limit. In the third chapter the Frobenius manifold M2DT is defined. We provide explicit formulae for the 3-point correlator function and the intersection form. Moreover, we prove that M2DT is semi simple by defining the canonical coordinates. The last chapter is devoted to the principal hierarchy.
The Infinite Dimensional Frobenius Manifold of 2D Toda Hierarchy / Mertens, Luca Philippe. - (2009 Aug 31).
|Autori:||Mertens, Luca Philippe|
|Titolo:||The Infinite Dimensional Frobenius Manifold of 2D Toda Hierarchy|
|Data di pubblicazione:||31-ago-2009|
|Appare nelle tipologie:||8.1 PhD thesis|