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We study the back stable Schubert calculus of the infinite flag variety.
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A. I. Molev. Comultiplication rules for the double Schur functions and Cauchy identities, Electronic J. Combin. 16 (1) 2009, Research Paper R13
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T. Lam and M. Shimozono. Quantum cohomology of G / P G/P and homology of affine Grassmannian. Acta Math. 204 (2010), no. 1, 49–90
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T. Lam and M. Shimozono, Equivariant Pieri rule for the homology of the affine Grassmannian. J. Algebraic Combin. 36 (2012), no. 4, 623–648
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D. Peterson. Quantum cohomology of G / P G/P , Lecture notes, M.I.T., Spring 1997
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V. Reiner and M. Shimozono. Percentage-Avoiding, Northwest Shapes and Peelable Tableaux. J. of Combin. Th. Ser. A 82 (1) 1998, 1–73
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S. Billey. Kostant polynomials and the cohomology ring for G / B G/B . Duke Math. J. 96 (1999), no. 1, 205–224
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S. Kumar. Kac-Moody groups, their flag varieties and representation theory. Progress in Mathematics, 204. Birkhäuser Boston, Inc., Boston, MA, 2002. xvi+606 pp
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2014
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T. Lam, L. Lapointe, J. Morse, A. Schilling, M. Shimozono, and M. Zabrocki. k-Schur functions and affine Schubert calculus. Fields Institute Monographs, 33. Springer, New York; Fields Institute for Research in Mathematical Sciences, Toronto, ON, 2014. viii+219 pp
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N. Li. A canonical expansion of the product of two Stanley symmetric functions. J. Algebraic Combin. 39 (2014), no. 4, 833–851
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X. He and T. Lam. Projected Richardson varieties and affine Schubert varieties. Ann. Inst. Fourier (Grenoble) 65 (2015), no. 6, 2385–2412
2015
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2015
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2015
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J. Tymoczko. Billey’s formula in combinatorics, geometry, and topology. Schubert calculus—Osaka 2012, 499–518, Adv. Stud. Pure Math., 71, Math. Soc. Japan, [Tokyo], 2016
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