@article {2015,
	title = {Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets},
	year = {2015},
	abstract = {We compute the Poisson cohomology of a scalar Poisson bracket of Dubrovin-Novikov type with D independent variables. We find that the second and third cohomology groups are generically non-vanishing in D>1. Hence, in contrast with the D=1 case, the deformation theory in the multivariable case is non-trivial.},
	author = {Guido Carlet and Matteo Casati and Sergey Shadrin}
}
@article {2011,
	title = {Infinite-dimensional Frobenius manifolds for 2 + 1 integrable systems},
	journal = {Matematische Annalen 349 (2011) 75-115},
	number = {SISSA;12/2009/FM},
	year = {2011},
	publisher = {Springer},
	abstract = {We introduce a structure of an infinite-dimensional Frobenius manifold on a subspace in the space of pairs of functions analytic inside/outside the unit circle with simple poles at 0/infinity respectively. The dispersionless 2D Toda equations are embedded into a bigger integrable hierarchy associated with this Frobenius manifold.},
	doi = {10.1007/s00208-010-0509-3},
	url = {http://hdl.handle.net/1963/3584},
	author = {Guido Carlet and Boris Dubrovin and Luca Philippe Mertens}
}
@article {2010,
	title = {The reductions of the dispersionless 2D Toda hierarchy and their Hamiltonian structures},
	journal = {J. Phys. A 43 (2010) 045201},
	number = {arXiv.org;0910.1210v1},
	year = {2010},
	publisher = {IOP Publishing},
	abstract = {We study finite-dimensional reductions of the dispersionless 2D Toda hierarchy showing that the consistency conditions for such reductions are given by a system of radial Loewner equations. We then construct their Hamiltonian structures, following an approach proposed by Ferapontov.},
	doi = {10.1088/1751-8113/43/4/045201},
	url = {http://hdl.handle.net/1963/3846},
	author = {Guido Carlet and Paolo Lorenzoni and Andrea Raimondo}
}
@article {2004,
	title = {The Extended Toda Hierarchy},
	journal = {Moscow Math. J. 4 (2004)\\n313-332.},
	number = {arXiv.org;nlin/0306060},
	year = {2004},
	url = {http://hdl.handle.net/1963/2542},
	author = {Guido Carlet and Boris Dubrovin and Zhang Youjin}
}
