A Model for the Orbifold Chow Ring of Weighted Projective Spaces

DOI10.1080/00927870802248902zbMath1178.14056arXiv0709.4559OpenAlexW2120483795MaRDI QIDQ3619567

Samuel Boissière, Fabio Perroni, Etienne Mann

Publication date: 8 April 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.4559

zbMATH Keywords

Frobenius algebrasweighted projective spacesChow ringorbifold cohomology

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Generalizations (algebraic spaces, stacks) (14A20)

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Inertia groups of a toric Deligne-Mumford stack, fake weighted projective stacks, and labeled sheared simplices, A global mirror symmetry framework for the Landau-Ginzburg/Calabi-Yau correspondence, THE COHOMOLOGICAL CREPANT RESOLUTION CONJECTURE FOR ℙ(1,3,4,4), Torsion in the full orbifold \(K\)-theory of abelian symplectic quotients, Computing certain Gromov-Witten invariants of the crepant resolution of ℙ(1, 3, 4, 4), LG/CY correspondence: the state space isomorphism

Cites Work

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• Poisson deformations of symplectic quotient singularities
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• A de Rham model for Chen-Ruan cohomology ring of abelian orbifolds
• The orbifold Chow ring of toric Deligne-Mumford stacks
• The Chen–Ruan Cohomology of Weighted Projective Spaces