Results 41 to 50 of about 12,587 (151)
Advances in Mathematics, 1997 20 pages (LaTeX). To appear in Advances in Mathematics. The quantum Pieri formula in the original version has been corrected (see also alg-geom/9705024), and the Title has been ``quantized''
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$k$-Schur functions and affine Schubert calculus
, 2013 This book is an exposition of the current state of research of affine Schubert calculus and $k$-Schur functions. This text is based on a series of lectures given at a workshop titled "Affine Schubert Calculus" that took place in July 2010 at the Fields ...
Lam, Thomas +5 more
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International Journal of Mathematics and Mathematical Sciences, 2006 We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
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Dynamic Pole Assignment and Schubert Calculus [PDF]
SIAM Journal on Control and Optimization, 1996 The output feedback pole assignment problem is a classical problem in linear systems theory. In this paper we calculate the number of complex dynamic compensators of order $q$ assigning a given set of poles for a $q$-nondegenerate $m$-input, $p$-output system of McMillan degree $n = q(m + p - 1) + mp$. As a corollary it follows that when this number is
Ravi, M S +2 more
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Free fermionic probability theory and k-theoretic schubert calculus
Forum of Mathematics, SigmaFor each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao +2 more
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Frontiers of reality in Schubert calculus [PDF]
Bulletin of the American Mathematical Society, 2009 The theorem of Mukhin, Tarasov, and Varchenko (formerly the Shapiro conjecture for Grassmannians) asserts that all (a priori complex) solutions to certain geometric problems in the Schubert calculus are actually real. Their proof is quite remarkable, using ideas from integrable systems, Fuchsian differential equations, and representation theory.
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Quasisymmetric Schubert calculus
, 2022 32 ...
Pechenik, Oliver, Satriano, Matthew
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Maximally inflected real rational curves [PDF]
, 2003 We introduce and begin the topological study of real rational plane curves, all of whose inflection points are real. The existence of such curves is a corollary of results in the real Schubert calculus, and their study has consequences for the important ...
Kharlamov, Viatcheslav, Sottile, Frank
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Double transitivity of Galois Groups in Schubert Calculus of Grassmannians [PDF]
, 2014 We investigate double transitivity of Galois groups in the classical Schubert calculus on Grassmannians. We show that all Schubert problems on Grassmannians of 2- and 3-planes have doubly transitive Galois groups, as do all Schubert problems involving ...
Sottile, Frank, White, Jacob
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