@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}
}
