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We introduce an integral structure in orbifold quantum cohomology associated to the K-group and the Gamma-class.
Palais, Richard S. Morse theory on Hilbert manifolds. Topology, Vol 2, 1963, pp.299–340
1963
Earlier work this paper cites.
Kouchnirenko, A. G. Polyèdres de Newton et nombres de Milnor. Invent. Math. 32 (1976), no. 1, pp.1–31
1976
Earlier work this paper cites.
Kawasaki, Tetsuro The Riemann-Roch theorem for complex V V -manifolds. Osaka J. Math., 16, 1979, pp.151–159
1979
Earlier work this paper cites.
Kawasaki, Tetsuro The index of elliptic operators over V-manifolds. Nagoya Math. J., 84, 1981, pp.135–157
1981
Earlier work this paper cites.
Atiyah, Michael F.; Bott, Raoul The moment map and equivariant cohomology. Topology 23 (1984), no. 1, pp.1–28
1984
Earlier work this paper cites.
Pham, Frédéric La descente des cols par les onglets de Lefschetz, avec vues sur Gauss-Manin. Astérisque. No. 130 (1985), pp.11–47
1985
Earlier work this paper cites.
Pressley, Andrew; Segal, Graeme Loop groups. Osford Mathematical Monographs, The Clarendon Press, Oxford University Press, 1986
1986
Earlier work this paper cites.
Oda, Tadao Convex bodies and algebraic geometry. An introduction to the theory of toric varieties. Translated from the Japanese. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 15. Springer-Verlag, Berlin, 1988
1988
Earlier work this paper cites.
Gelfand, I. M.; Zelevinsky, A. V.; Kapranov, M. M. Hypergeometric functions and toral manifolds. (Russian) Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, pp.12–26; translation in Funct. Anal. Appl. 23 (1989), no. 2, pp.94–106
1989
Earlier work this paper cites.
Saito, Morihiko On the structure of Brieskorn lattices. Ann. Inst. Fourier (Grenoble), 39, 1989, pp.27–72
1989
Earlier work this paper cites.
Audin, Michele The topology of torus actions on symplectic manifolds. Birkäuser. Progress in Mathematics 93. 1991
1991
Earlier work this paper cites.
Cecotti, Sergio; Vafa, Cumrun Topological–anti-topological fusion. Nuclear Phys. B 367 (1991), no. 2, pp.359–461
1991
Earlier work this paper cites.
Chen, Weimin; Ruan, Yongbin A new cohomology theory of orbifold. Comm. Math. Phys. B 359 (1991) no.1, pp.1–31
1991
Earlier work this paper cites.
Candelas, Philip; de la Ossa, Xenia C.; Green, Paul S.; Parkes, Linda An exactly soluble superconformal theory from a mirror pair of Calabi-Yau manifolds. Phys. Lett. B 258 (1991), no. 1-2, pp.118–126
1991
Earlier work this paper cites.
Cecotti, Sergio; Vafa, Cumrun On classification of N = 2 N=2 supersymmetric theories. Comm. Math. Phys. 158 (1993), no. 3, pp.569–644
1993
Earlier work this paper cites.
Fulton, William Introduction to toric varieties. Annals of Mathematics Studies, 131. The William H. Roever Lectures in Geometry. Princeton University Press, Princeton, NJ, 1993
1993
Earlier work this paper cites.
Morrison, David R. Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians. J. Amer. Math. Soc. 6 (1993), no. 1, pp.223–247
1993
Earlier work this paper cites.
Adolphson, Alan Hypergeometric functions and rings generated by monomials. Duke Math. J. 73 (1994), no. 2, pp.269–290
1994
Earlier work this paper cites.
Givental, Alexander B. Homological geometry and mirror symmetry. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994), pp.472–480, Birkhäuser, Basel, 1995
1995
Cited alongside, same era.
Strominger Andrew; Yau, Shing-Tung; Zaslow Eric Mirror symmetry is T-duality. Nuclear Phys. B 479 (1996), pp.243–259
1996
Cited alongside, same era.
Deligne, Pierre Local behavior of Hodge structures at infinity. Mirror symmetry, II, 683–699, AMS/IP Stud. Adv. Math., 1, Amer. Math. Soc., Providence, RI, 1997
1997
Cited alongside, same era.
Morrison, David R. Mathematical aspects of mirror symmetry. Complex algebraic geometry (Park City, UT, 1993), pp.265–327, IAS/Park City Math. Ser., 3, Amer. Math. Soc., Providence, RI, 1997
1997
Cited alongside, same era.
Dubrovin, Boris Geometry and analytic theory of Frobenius manifolds. In Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998), number Extra Vol. II, pp.315–326 (electronic), 1998
Adem, Alejandro; Ruan, Yongbin Twisted orbifold K K -theory. Comm. Math. Phys. 237 (2003), no. 3, pp.533–556
2003
Later among the works it cites.
Douai, Antoine; Sabbah, Claude Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I. Ann. Inst. Fourier (Grenoble), 53 (2003), pp.1055–1116
2003
Later among the works it cites.
Hertling, Claus t t ∗ tt^{*} -geometry, Frobenius manifolds, their connections, and the construction for singularities. J. Reine Angew. Math. 555 (2003), pp.77–161
2003
Later among the works it cites.
Totaro, Burt The resolution property of schemes and stacks. J. Reine Angew. Math. 577 (2004), pp.1–22
2004
Later among the works it cites.
Borisov, Lev A.; Chen, Linda; Smith, Gregory G. The orbifold Chow ring of toric Deligne-Mumford stacks. J. Amer. Math. Soc. 18 (2005), no. 1, pp.193–215
2005
Later among the works it cites.
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1998
Cited alongside, same era.
Givental, Alexander B. A mirror theorem for toric complete intersections. Topological field theory, primitive forms and related topics (Kyoto, 1996), pp.141–175, Progr. Math., 160, Birkhäuser Boston, Boston, MA, 1998
1998
Cited alongside, same era.
Pandharipande, Rahul Rational curves on hypersurfaces (after Givental). Séminaire Bourbaki. Vol. 1007/98. Astérisque No.252, (1998), Exp. No. 848, 5, pp.307-340
1998
Cited alongside, same era.
Cox, David A.; Katz, Sheldon Mirror symmetry and algebraic geometry. Mathematical Surveys and Monographs, 68. American Mathematical Society, Providence, RI, 1999
1999
Cited alongside, same era.
Dubrovin, Boris Painlevé transcendents in two-dimensional topological field theory. In The Painlevé property, CRM Ser. Math. Phys., pp.287–412. Springer, New York, 1999
1999
Cited alongside, same era.
Guzzetti, Davide Stokes matrices and monodromy of the quantum cohomology of projective spaces. Comm. Math. Phys., 207 (2), pp.341–383, 1999
1999
Cited alongside, same era.
Manin, Yuri I. Frobenius manifolds, quantum cohomology and moduli spaces. American Mathematical Society Colloquium Publications, 47. American Mathematical Society, Providence, RI, 1999
1999
Cited alongside, same era.
Sabbah, Claude Hypergeometric periods for a tame polynomial. Portugalia Mathematicae, 63 (2006), no.2, pp.173–226, (available at arXiv:math/9805077); A short version without proofs in: C. R. Acad. Sci. Paris Sr. I Math. 328 (1999), no.7, pp.603–608
1999
Cited alongside, same era.
Borisov, Lev A.; Horja, R. Paul On the K K -theory of smooth toric DM stacks. Snowbird lectures on string geometry, pp.21–42, Contemp. Math., 401, Amer. Math. Soc., Providence, RI, 2006
2006
Later among the works it cites.
Borisov, Lev A.; Horja, R. Paul Mellin-Barnes integrals as Fourier-Mukai transforms. Adv. Math. 207 (2006), no. 2, pp.876–927
2006
Later among the works it cites.
Hosono, Shinobu Central charges, symplectic forms, and hypergeometric series in local mirror symmetry. Mirror symmetry. V, pp.405–439, AMS/IP Stud. Adv. Math., 38, Amer. Math. Soc., Providence, RI, 2006
2006
Later among the works it cites.
Iritani, Hiroshi Quantum D D -modules and equivariant Floer theory for free loop spaces. Math. Z. 252, no.3 (2006), pp.577–622
2006
Later among the works it cites.
Ruan, Yongbin The cohomology ring of crepant resolutions of orbifolds. pp. 117–126, Contemp. Math., 403. Amer. Math. Soc., Providence, RI, 2006
2006
Later among the works it cites.
Bridgeland, Tom Stability conditions on triangulated categories. Ann. of Math. (2) 166 (2007), no.2, pp.317–345
2007
Later among the works it cites.
Coates, Tom; Givental, Alexander B. Quantum Riemann-Roch, Lefschetz and Serre. Ann. of Math. (2) 165 (2007), no. 1, pp.15–53
2007
Later among the works it cites.
Hertling, Claus; Sevenheck, Christian Nilpotent orbits of a generalization of Hodge structures. J. Reine Angew. Math. 609 (2007), pp.23–80, available at arXiv:math/0603564
2007
Later among the works it cites.
Iritani, Hiroshi Convergence of quantum cohomology by quantum Lefschetz. J. Reine. Angew. Math. 610 (2007), pp.29–69, available at arXiv:math/0506236
2007
Later among the works it cites.
Abramovich, Dan; Graber, Tom; Vistoli, Angelo Gromov-Witten theory of Deligne-Mumford stacks. Amer. J. Math. 130 (2008), no.5, pp.1337–1398, available at arXiv:math/0603151
2008
Later among the works it cites.
2008
Later among the works it cites.
Iritani, Hiroshi Quantum D D -modules and generalized mirror transformations. Topology, 47 (2008), pp.225–276, available at arXiv:math/0411111
2008
Later among the works it cites.