Double ramification cycles and integrable hierarchies

Abstract

It this paper we present a new construction of a hamiltonian hierarchy associated to a cohomological field theory. We conjecture that in the semisimple case our hierarchy is related to the Dubrovin-Zhang hierarchy by a Miura transformation and check it in several examples.

Final version, 18 pages

References in corpus (3)

• The equivariant Gromov-Witten theory of P^1
• Polynomial families of tautological classes on ${\mathcal{M}}_{g,n}^{rt}$
• The spaces of Laurent polynomials, ${\mathbb{P}}^1$-orbifolds, and integrable hierarchies