Central invariants revisited
Differential Geometry
2018-10-23 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We use refined spectral sequence arguments to calculate known and previously unknown bi-Hamiltonian cohomology groups, which govern the deformation theory of semi-simple bi-Hamiltonian pencils of hydrodynamic type with one independent and dependent variables. In particular, we rederive the result of Dubrovin-Liu-Zhang that these deformations are parametrized by the so-called central invariants, which are smooth functions of one variable.
Keywords
Cite
@article{arxiv.1611.09134,
title = {Central invariants revisited},
author = {Guido Carlet and Reinier Kramer and Sergey Shadrin},
journal= {arXiv preprint arXiv:1611.09134},
year = {2018}
}
Comments
Accepted for publication in Journal de l'\'Ecole polytechnique - Math\'ematiques