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In a previous paper, the author introduced a Z-structure in quantum cohomology defined by the K-theory and the Gamma class and showed that it is compatible with mirror symmetry for toric orbifolds.
The geometry of toric varieties
V. I. Danilov · 1978
Earlier work this paper cites.
The Riemann-Roch theorem for complex V V -manifolds
Tetsuro Kawasaki · 1979
Earlier work this paper cites.
La descente des cols par les onglets de Lefschetz, avec vues sur Gauss-Manin
Frédéric Pham · 1983
Earlier work this paper cites.
Newton polyhedra and an algorithm for calculating Hodge-Deligne numbers
V. I. Danilov and A. G. Khovanskiĭ · 1986
Earlier work this paper cites.
Loop groups
Andrew Pressley and Graeme Segal · 1986
Earlier work this paper cites.
Convex bodies and algebraic geometry
Tadao Oda · 1988
Earlier work this paper cites.
Hypergeometric functions and toric varieties
I. M. Gel ′ · 1989
Earlier work this paper cites.
Intersection theory on algebraic stacks and on their moduli spaces
Angelo Vistoli · 1989
Earlier work this paper cites.
A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
Philip Candelas, Xenia C. de la Ossa, Paul S. Green, and Linda Parkes · 1991
Earlier work this paper cites.
Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
Victor V. Batyrev · 1993
Earlier work this paper cites.
Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
Victor V. Batyrev · 1994
Earlier work this paper cites.
On the Hodge structure of projective hypersurfaces in toric varieties
Victor V. Batyrev and David A. Cox · 1994
Earlier work this paper cites.
Homological geometry and mirror symmetry
Alexander B. Givental · 1995
Earlier work this paper cites.
On Calabi-Yau complete intersections in toric varieties
Victor V. Batyrev and Lev A. Borisov · 1996
Earlier work this paper cites.
Rational curves on hypersurfaces (after A. Givental)
Rahul Pandharipande · 1997
Earlier work this paper cites.
Intersection theory
William Fulton · 1998
Earlier work this paper cites.
A mirror theorem for toric complete intersections
Alexander Givental · 1998
Cited alongside, same era.
Resonant hypergeometric systems and mirror symmetry
Jan Stienstra · 1998
Cited alongside, same era.
Mirror symmetry and algebraic geometry
David A. Cox and Sheldon Katz · 1999
Cited alongside, same era.
Théorèmes de Riemann-Roch pour les champs de Deligne-Mumford
B. Toen · 1999
Cited alongside, same era.
Semiample hypersurfaces in toric varieties
Anvar R. Mavlyutov · 2000
Cited alongside, same era.
Quantum periods. I. Semi-infinite variations of Hodge structures
Serguei Barannikov · 2001
Cited alongside, same era.
Orbifold Gromov-Witten theory
On the K K -theory of smooth toric DM stacks
Lev A. Borisov and R. Paul Horja · 2006
Later among the works it cites.
Central charges, symplectic forms, and hypergeometric series in local mirror symmetry
Shinobu Hosono · 2006
Later among the works it cites.
Derived categories of toric varieties
Yujiro Kawamata · 2006
Later among the works it cites.
Quantum Riemann-Roch, Lefschetz and Serre
Tom Coates and Alexander Givental · 2007
Later among the works it cites.
On Landau-Ginzburg models for Fano varieties
Victor Przyjalkowski · 2007
Later among the works it cites.
Gromov-Witten theory of Deligne-Mumford stacks
Dan Abramovich, Tom Graber, and Angelo Vistoli · 2008
Later among the works it cites.
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Weimin Chen and Yongbin Ruan · 2002
Cited alongside, same era.
String cohomology of Calabi-Yau hypersurfaces via mirror symmetry
Lev A. Borisov and Anvar R. Mavlyutov · 2003
Cited alongside, same era.
t t ∗ tt^{*} geometry, Frobenius manifolds, their connections, and the construction for singularities
Claus Hertling · 2003
Cited alongside, same era.
Functoriality in intersection theory and a conjecture of Cox, Katz, and Lee
Bumsig Kim, Andrew Kresch, and Tony Pantev · 2003
Cited alongside, same era.
On the chiral ring of Calabi-Yau hypersurfaces in toric varieties
Anvar R. Mavlyutov · 2003
Cited alongside, same era.
A new cohomology theory of orbifold
Weimin Chen and Yongbin Ruan · 2004
Cited alongside, same era.
Hiroshi Iritani · 2008
Later among the works it cites.
The orbifold cohomology ring of simplicial toric stack bundles
Yunfeng Jiang · 2008
Later among the works it cites.
Hodge theoretic aspects of mirror symmetry
L. Katzarkov, M. Kontsevich, and T. Pantev · 2008
Later among the works it cites.
Computing genus-zero twisted Gromov-Witten invariants
Tom Coates, Alessio Corti, Hiroshi Iritani, and Hsian-Hua Tseng · 2009
Later among the works it cites.
The quantum orbifold cohomology of weighted projective spaces
Tom Coates, Yuan-Pin Lee, Alessio Corti, and Hsian-Hua Tseng · 2009
Later among the works it cites.
An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
Hiroshi Iritani · 2009
Later among the works it cites.
Ruan’s conjecture and integral structures in quantum cohomology
Hiroshi Iritani · 2010
Later among the works it cites.
Local B-model and mixed Hodge structure
Yukiko Konishi and Satoshi Minabe · 2010
Later among the works it cites.
Orbifold quantum Riemann-Roch, Lefschetz and Serre
Hsian-Hua Tseng · 2010
Later among the works it cites.