@article {2012,
	title = {On the genus two free energies for semisimple Frobenius manifolds},
	journal = {Russian Journal of Mathematical Physics.  Volume 19, Issue 3, September 2012, Pages 273-298},
	number = {arXiv:1205.5990;},
	year = {2012},
	note = {36 pages, 3 figures},
	publisher = {SISSA},
	abstract = {We represent the genus two free energy of an arbitrary semisimple Frobenius\\r\\nmanifold as a sum of contributions associated with dual graphs of certain\\r\\nstable algebraic curves of genus two plus the so-called \\\"genus two G-function\\\".\\r\\nConjecturally the genus two G-function vanishes for a series of important\\r\\nexamples of Frobenius manifolds associated with simple singularities as well as\\r\\nfor ${\\\\bf P}^1$-orbifolds with positive Euler characteristics. We explain the\\r\\nreasons for such Conjecture and prove it in certain particular cases.},
	doi = {10.1134/S1061920812030028},
	url = {http://hdl.handle.net/1963/6464},
	author = {Boris Dubrovin and Si-Qi Liu and Youjin Zhang}
}
@inbook {1998,
	title = {Geometry and analytic theory of Frobenius manifolds},
	booktitle = {Proceedings of the International Congress of Mathematicians : Berlin 1998, August 18 - 27. II, Invited lectures. - Bielefeld : Universität Bielefeld, Fakultät für Mathematik cop. 1998. - pages :  315-326},
	number = {Documenta mathematica;Extra vol.},
	year = {1998},
	abstract = {Main mathematical applications of Frobenius manifolds are\\r\\nin the theory of Gromov - Witten invariants, in singularity theory, in\\r\\ndifferential geometry of the orbit spaces of reflection groups and of their\\r\\nextensions, in the hamiltonian theory of integrable hierarchies. The theory\\r\\nof Frobenius manifolds establishes remarkable relationships between\\r\\nthese, sometimes rather distant, mathematical theories.},
	url = {http://hdl.handle.net/1963/6488},
	author = {Boris Dubrovin}
}
@inbook {1995,
	title = {Geometry of 2D topological field theories},
	booktitle = {Integrable systems and quantum groups : lectures given at the 1st session of the Centro internazionale matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1995 / R. Donagi, B. Dubrovin, E. Frenkel... [et al.] ; editors, M. Francavig},
	year = {1995},
	publisher = {SISSA},
	organization = {SISSA},
	abstract = {These notes are devoted to the theory of {\textquotedblleft}equations of associativity{\textquotedblright}\\r\\ndescribing geometry of moduli spaces of 2D topological field theories.},
	isbn = {3-540-60542-8},
	url = {http://hdl.handle.net/1963/6483},
	author = {Boris Dubrovin}
}
@article {1993,
	title = {Geometry and integrability of topological-antitopological fusion},
	journal = {Communications in Mathematical Physics. Volume 152, Issue 3, March 1993, Pages 539-564},
	year = {1993},
	publisher = {SISSA},
	abstract = {Integrability of equations of topological-antitopological fusion (being proposed\\r\\nby Cecotti and Vafa) describing the ground state metric on a given 2D topological\\r\\nfield theory (TFT) model, is proved. For massive TFT models these equations\\r\\nare reduced to a universal form (being independent on the given TFT model) by\\r\\ngauge transformations. For massive perturbations of topological conformal field theory\\r\\nmodels the separatrix solutions of the equations bounded at infinity are found\\r\\nby the isomonodromy deformations method. Also it is shown that the ground state\\r\\nmetric together with some part of the underlined TFT structure can be parametrized\\r\\nby pluriharmonic maps of the coupling space to the symmetric space of real positive\\r\\ndefinite quadratic forms.},
	doi = {10.1007/BF02096618},
	url = {http://hdl.handle.net/1963/6481},
	author = {Boris Dubrovin}
}
