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We show that the product in the quantum K-ring of a generalized flag manifold $G/P$ involves only finitely many powers of the Novikov variables.
Elliptic Operators and Compact Groups
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A. Givental and Y.-P. Lee, Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups
2003
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Y.-P. Lee, Quantum K-theory. I. Foundations
2004
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Y.-P. Lee and R. Pandharipande, A reconstruction theorem in quantum cohomology and quantum K-theory
2004
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C. Woodward, On D. Peterson’s comparison formula for Gromov-Witten invariants of G / P G/P
2005
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A. Braverman, Spaces of quasi-maps into the flag varieties and their applications
2006
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A. Braverman, M. Finkelberg, and D. Gaitsgory, Uhlenbeck spaces via affine Lie algebras
2006
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A. Buch, P.-E. Chaput, L. Mihalcea, and N. Perrin, Finiteness of cominuscule quantum K-theory
2013
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J. Kollár, Singularities of the Minimal Model Program
2013
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A. Braverman and M. Finkelberg, Semi-infinite Schubert varieties and quantum K-theory of flag manifolds
2014
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A. Givental and V. Tonita, The Hirzebruch-Riemann-Roch Theorem in true genus- 0 0 quantum K-theory
2014
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H. Iritani, T. Milanov, and V. Tonita, Reconstruction and convergence in quantum K-theory via difference equations
2015
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I. Ciocan-Fontanine, B. Kim, and C. Sabbah, The abelian/nonabelian correspondence and Frobenius manifolds
2008
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2009
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2010
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2011
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2011
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D. Anderson, L. Chen, and H.-H. Tseng, On the quantum K-ring of the flag manifold
Cited in the paper.
2016
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A. Buch, P.-E. Chaput, L. Mihalcea, and N. Perrin, Rational connectedness implies finiteness of quantum K-theory
2016
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D. Anderson, Computing torus-equivariant K-theory of singular varieties
2017
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A. Braverman and M. Finkelberg, Twisted zastava and q q -Whittaker functions
2017
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2018
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