Central Invariants of the Constrained KP Hierarchies

TL;DR

This paper calculates the central invariants of bihamiltonian structures in constrained KP hierarchies, revealing these integrable systems as topological deformations of their hydrodynamic limits.

Contribution

It provides the first explicit computation of central invariants for these hierarchies, linking integrable systems with topological field theories.

Findings

Central invariants are explicitly computed.

Constrained KP hierarchies are shown to be topological deformations.

Connection established between integrable hierarchies and topological theories.

Abstract

We compute the central invariants of the bihamiltonian structures of the constrained KP hierarchies, and show that these integrable hierarchies are topological deformations of their hydrodynamic limits.