@article {2011,
	title = {Crepant resolutions of weighted projective spaces and quantum deformations},
	journal = {This article will be published in 2011 in the \"Nagoya Mathematical Journal\" Volume 201, March 2011, Pages 1-22, under the title \"Computing certain Gromov-Witten invariants of the crepant resolution of P{double-strock}(1, 3, 4, 4)},
	number = {arXiv:math/0610617;},
	year = {2011},
	note = {Exposition improved, new title, typos corrected. The section\r\n  concerning the model for the orbifold Chow ring has been removed (appears now\r\n  in our new preprint 0709.4559)},
	publisher = {SISSA},
	abstract = {We compare the Chen-Ruan cohomology ring of the weighted projective spaces\r\n$\\IP(1,3,4,4)$ and $\\IP(1,...,1,n)$ with the cohomology ring of their crepant\r\nresolutions. In both cases, we prove that the Chen-Ruan cohomology ring is\r\nisomorphic to the quantum corrected cohomology ring of the crepant resolution\r\nafter suitable evaluation of the quantum parameters. For this, we prove a\r\nformula for the Gromov-Witten invariants of the resolution of a transversal\r\n${\\rm A}_3$ singularity.},
	url = {http://hdl.handle.net/1963/6514},
	author = {Samuel Boissiere and Etienne Mann and Fabio Perroni}
}
@article {2009,
	title = {A model for the orbifold Chow ring of weighted projective spaces},
	journal = {Comm. Algebra 37 (2009) 503-514},
	number = {arXiv.org;0709.4559v1},
	year = {2009},
	publisher = {Taylor and Francis},
	abstract = {We construct an isomorphism of graded Frobenius algebras between the orbifold Chow ring of weighted projective spaces and graded algebras of groups of roots of the unity.},
	doi = {10.1080/00927870802248902},
	url = {http://hdl.handle.net/1963/3589},
	author = {Samuel Boissiere and Etienne Mann and Fabio Perroni}
}
@article {2007,
	title = {The cohomological crepant resolution conjecture for P(1,3,4,4)},
	number = {arXiv:0712.3248;},
	year = {2007},
	note = {11 pages, 1 figure},
	publisher = {SISSA},
	abstract = {We prove the cohomological crepant resolution conjecture of Ruan for the\r\nweighted projective space P(1,3,4,4). To compute the quantum corrected\r\ncohomology ring we combine the results of Coates-Corti-Iritani-Tseng on\r\nP(1,1,1,3) and our previous results.},
	url = {http://hdl.handle.net/1963/6513},
	author = {Samuel Boissiere and Fabio Perroni and Etienne Mann}
}
@article {2007,
	title = {Smooth toric DM stacks},
	number = {SISSA;64/2007/MP},
	year = {2007},
	abstract = {We give a new definition of smooth toric DM stacks in the same spirit of toric varieties. We show that our definition is equivalent to the one of Borisov, Chen and Smith in terms of stacky fans. In particular, we give a geometric interpretation of the combinatorial data contained in a stacky fan. We also give a bottom up classification in terms of simplicial toric varieties and fiber products of root stacks.},
	url = {http://hdl.handle.net/1963/2120},
	author = {Barbara Fantechi and Etienne Mann and Fabio Nironi}
}
