English

Double ramification cycles and integrable hierarchies

Mathematical Physics 2015-03-26 v3 Algebraic Geometry math.MP

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.

Keywords

Cite

@article{arxiv.1403.1719,
  title  = {Double ramification cycles and integrable hierarchies},
  author = {A. Buryak},
  journal= {arXiv preprint arXiv:1403.1719},
  year   = {2015}
}

Comments

Final version, 18 pages

R2 v1 2026-06-22T03:22:13.747Z