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We completely characterize genus-0 K-theoretic Gromov-Witten invariants of a compact complex algebraic manifold in terms of cohomological Gromov-Witten invariants of this manifold.
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1966
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M. Kontsevich, Yu. Manin. Gromov–Witten Classes, quantum cohomology, and enumerative geometry
1994
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A. Givental. Homological geometry and mirror symmetry
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B. Kim. Quantum cohomology of flag manifolds G / B G/B and quantum Toda lattices
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A. Givental. On the WDVV-equation in quantum K-theory
2000
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D. Abramovich, T. Graber, A. Vistoli. Algebraic orbifold quantum products
2002
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W. Chen, Y. Ruan. Orbifold Gromov–Witten theory
2002
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T. Jarvis, T. Kimura. Orbifold quantum cohomology of the classifying space of a finite group
2002
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T. Coates. Riemann–Roch theorems in Gromov–Witten theory
2003
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A. Givental. Symplectic geometry of Frobenius structures
2004
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Y.-P. Lee. Quantum K-theory I. Foundations
2004
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T. Coates, A. Givental. Quantum cobordisms and formal group laws
2006
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T. Coates, A. Givental. Quantum Riemann–Roch, Lefschetz and Serre
2007
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T. Coates, A. Corti, H. Iritani, H-H. Tseng. Computing twisted genus-zero Gromov-Witten invariants
2009
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2010
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A. Givental, Y.-P. Lee. Quantum K-theory on flag manifolds, finite difference Toda lattices and quantum groups
2003
Cited alongside, same era.
V. Tonita. Virtual Kawasaki’s Hirzebruch–Riemann–Roch formula formula
Cited in the paper.
V. Tonita. Twisted Gromov-Witten invariants of orbifold target spaces
Cited in the paper.
V. Tonita. Twisted Gromov-Witten invariants and applications to quantum K-theory
2011
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