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We study the Grothendieck classes of quiver cycles, i.e.
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by same author, Stanley symmetric functions and quiver varieties , J. Algebra 235
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A. S. Buch, A. Kresch, H. Tamvakis, and A. Yong, Schubert polynomials and quiver formulas , Duke Math. J. 122
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by same author, Alternating signs of quiver coefficients , J. Amer. Math. Soc. 18
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by same author, Grothendieck polynomials and quiver formulas , Amer. J. Math. 127
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A. S. Buch, F. Sottile, and A. Yong, Quiver coefficients are Schubert structure constants , Math. Res. Lett. 12
2005
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E. Miller, Alternating formulas for K K -theoretic quiver polynomials , Duke Math. J. 128
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M. Brion, Positivity in the Grothendieck group of complex flag varieties , J. Algebra 258
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by same author, Grothendieck classes of quiver varieties , Duke Math. J. 115
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by same author, A Littlewood-Richardson rule for the K K -theory of Grassmannians , Acta Math. 189
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L. Fehér and R. Rimányi, Classes of degeneracy loci for quivers: the Thom polynomial point of view , Duke Math. J. 114
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M. Reineke, Quivers, desingularizations and canonical bases , Progr. Math., vol. 210, Birkhäuser Boston, Boston, MA, 2003, pp. 325–344. MR MR1985731 (2004j:16017)
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D. R. Grayson and M. E. Stillman, Macaulay 2, a software system for research in algebraic geometry , Available at http://www.math.uiuc.edu/Macaulay2/
Cited in the paper.
2005
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A. S. Buch, A. Kresch, M. Shimozono, H. Tamvakis, and A. Yong, Stable Grothendieck polynomials and K K -theoretic factor sequences , preprint, 2006
2006
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A. Knutson, E. Miller, and M. Shimozono, Four positive formulae for type A A quiver polynomials , Invent. Math. 166
2006
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A. Knutson and M. Shimozono, Kempf collapsing and quiver loci , preprint, 2006
2006
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C. Lenart, S. Robinson, and F. Sottile, Grothendieck polynomials via permutation patterns and chains in the Bruhat order , Amer. J. Math. 128
2006
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A. S. Buch and R. Rimányi, A formula for non-equioriented quiver orbits of type A A , J. Algebraic Geom. 16
2007
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