@article {2012,
	title = {Solving the Sixth Painlev{\'e} Equation: Towards the Classification of all the Critical Behaviors and the Connection Formulae},
	journal = {Int Math Res Notices (2012) 2012 (6): 1352-1413},
	number = {arXiv:1010.1895;},
	year = {2012},
	note = {53 pages, 2 figures},
	publisher = {Oxford University Press},
	abstract = {The critical behavior of a three real parameter class of solutions of the\\r\\nsixth Painlev\\\\\\\'e equation is computed, and parametrized in terms of monodromy\\r\\ndata of the associated $2\\\\times 2$ matrix linear Fuchsian system of ODE. The\\r\\nclass may contain solutions with poles accumulating at the critical point. The\\r\\nstudy of this class closes a gap in the description of the transcendents in one\\r\\nto one correspondence with the monodromy data. These transcendents are reviewed in the paper. Some formulas that relate the monodromy data to the critical behaviors of the four real (two complex) parameter class of solutions are\\r\\nmissing in the literature, so they are computed here. A computational procedure to write the full expansion of the four and three real parameter class of solutions is proposed.},
	doi = {10.1093/imrn/rnr071},
	url = {http://hdl.handle.net/1963/6093},
	author = {Davide Guzzetti}
}
@inbook {2011,
	title = {Solving PVI by Isomonodromy Deformations},
	booktitle = {Painlevé equations and related topics : proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 /  	Aleksandr Dmitrievich Briuno; Alexander B Batkhin. -  Berlin : De Gruyter, [2012]. - p. 101-105},
	number = {arXiv:1106.2636;},
	year = {2011},
	note = {12 pages, 1 figurethis paper has been},
	publisher = {SISSA},
	organization = {SISSA},
	abstract = {The critical and asymptotic behaviors of solutions of the sixth Painlev\\\'e\r\nequation, an their parametrization in terms of monodromy data, are\r\nsynthetically reviewed. The explicit formulas are given. This paper has been\r\nwithdrawn by the author himself, because some improvements are necessary.\r\nThis is a proceedings of the international conference \"Painlevé Equations and Related Topics\" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the SteklovInstitute of Mathematicsof theRussian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.},
	keywords = {Painlevé Equations},
	isbn = {9783110275582},
	url = {http://hdl.handle.net/1963/6522},
	author = {Davide Guzzetti}
}
@inbook {2000,
	title = {Stokes Matrices for Frobenius Manifolds and the 6 Painlev{\'e} Equation},
	booktitle = {Rokko Lectures in Mathematics, Vol 7 [Issue title: Perspective of Painleve equations], (2000), pages : 101-109},
	number = {Rokko lectures in mathematics;vol. 7},
	year = {2000},
	publisher = {Kobe University, Japan},
	organization = {Kobe University, Japan},
	abstract = {These notes are a short review on the theory of Frobenius manifolds and its connection
to problems of isomonodromy deformations and to Painlev{\textquoteright}e equations.},
	keywords = {Painlev{\'e} equation},
	isbn = {4-907719-07-8},
	url = {http://hdl.handle.net/1963/6546},
	author = {Davide Guzzetti}
}
@article {1999,
	title = {Stokes matrices and monodromy of the quantum cohomology of projective spaces},
	journal = {Comm. Math. Phys. 207 (1999) 341-383},
	number = {arXiv.org;math/9904099v1},
	year = {1999},
	publisher = {Springer},
	abstract = {n this paper we compute Stokes matrices and monodromy of the quantum cohomology of projective spaces. This problem can be formulated in a \\\"classical\\\" framework, as the problem of computation of Stokes matrices and monodromy of differential equations with regular and irregular singularities. We prove that the Stokes\\\' matrix of the quantum cohomology coincides with the Gram matrix in the theory of derived categories of coherent sheaves. We also study the monodromy group of the quantum cohomology and we show that it is related to hyperbolic triangular groups.},
	doi = {10.1007/s002200050729},
	url = {http://hdl.handle.net/1963/3475},
	author = {Davide Guzzetti}
}
