115
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

A Model for the Orbifold Chow Ring of Weighted Projective Spaces

, &
Pages 503-514 | Received 31 May 2007, Published online: 09 Feb 2009

REFERENCES

  • Abramovich , D. , Graber , T. , Vistoli , A. ( 2002 ). Algebraic Orbifold Quantum Products . Orbifolds in Mathematics and Physics (Madison, WI, 2001). Contemp. Math. , Vol. 310 . Providence , RI : Amer. Math. Soc. , pp. 1 – 24 .
  • Borisov , L. A. , Chen , L. , Smith , G. G. ( 2005 ). The orbifold Chow ring of Toric Deligne–Mumford stacks . J. Amer. Math. Soc. 18 ( 1 ): 193 – 215 .
  • Boissière , S. , Mann , E. , Perroni , F. Crepant resolutions of weighted projective spaces and quantum deformations . ArXiv:math.AG/0610617 (version 2) .
  • Coates , T. , Corti , A. , Lee , Y.-P. , Tseng , H.-H. (2007). The quantum orbifold cohomology of weighted projective spaces. To appear in Acta Math .
  • Chen , W. , Ruan , Y. ( 2004 ). A new cohomology theory of orbifold . Comm. Math. Phys. 248 ( 1 ): 1 – 31 .
  • Chen , B. , Hu , S. ( 2006 ). A deRham model for Chen-Ruan cohomology ring of abelian orbifolds . Math. Ann. 336 ( 1 ): 51 – 71 .
  • et al. . ( 2008 ). Poisson geometry in mathematics and physics . Proceedings of the International Conference . Tokyo, Japan. June 5–9, 2006 . Providence RI : Amer. Math. Soc. (AMS) Contemporary Mathematics 450:127–146 .
  • Douai , A. , Sabbah , C. ( 2004 ). Gauss-Manin Systems, Brieskorn Lattices and Frobenius Structures. II . Frobenius manifolds, Aspects Math., E36 . Wiesbaden : Vieweg , pp. 1 – 18 .
  • Ginzburg , V. , Kaledin , D. ( 2004 ). Poisson deformations of symplectic quotient singularities . Adv. Math. 186 ( 1 ): 1 – 57 .
  • Holm , T. S. ( 2007 ). Orbifold Cohomology of Abelian Symplectic Reductions and the Case of Weighted Projective Spaces. ArXiv:math.AG/0704.0257 .
  • Jiang , Y. ( 2007 ). The Chen-Ruan cohomology of weighted projective spaces . Can. J. Math. 59 ( 5 ): 981 – 1007 .
  • Mann , E. ( 2008 ). Orbifold quantum cohomology of weighted projective spaces . J. Alg. Geom. 17 : 137 – 166 .
  • Communicated by J. Alev.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.