Equivariant Gromov-Witten theory of orbifold curves and Integrable Hierarchies

In a series of three papers, Okounkov and Pandharipande
completely determine the Gromov-Witten theory of curves. Their method
relies heavily on the infinite wedge, an algebraic framework that
helps shed light on connections to the Virasoro conjecture and
integrable hierarchies. We present the first step in extending their
work to orbifold curves: showing that the Equivariant Gromov-Witten
theory of orbifold P^1s satisfy the 2-Toda hierarchy.