Results 31 to 40 of about 220,490 (165)
Descent-Cycling in Schubert Calculus [PDF]
Experimental Mathematics, 2001 We prove two lemmata about Schubert calculus on generalized flag manifolds G/B, and in the case of the ordinary flag manifold GL_n/B we interpret them combinatorially in terms of descents, and geometrically in terms of missing subspaces. One of them gives a symmetry of Schubert calculus that we christen_descent-cycling_.
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Maximal Newton polygons via the quantum Bruhat graph [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This paper discusses a surprising relationship between the quantum cohomology of the variety of complete flags and the partially ordered set of Newton polygons associated to an element in the affine Weyl group.
Elizabeth T. Beazley
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International Festival in Schubert Calculus
, 2020 This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017.
Hu, Jianxun +2 more
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Equivariant Schubert calculus and applications [PDF]
, 2022 Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo termsThe student, Colleen Robichaux, accepted the attached license on 2022-06-01 at 16:34.The student, Colleen ...
Robichaux, Colleen
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Reality and Computation in Schubert Calculus [PDF]
, 2013 The Mukhin-Tarasov-Varchenko Theorem (previously the Shapiro Conjecture) asserts that a Schubert problem has all solutions distinct and real if the Schubert varieties involved osculate a rational normal curve at real points. When conjectured, it sparked
Hein, Nickolas Jason
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On the Coproduct in Affine Schubert Calculus
, 2022 25 ...
Lam, Thomas +2 more
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Newton Binomial Formulas in Schubert Calculus [PDF]
, 2009 One proves Newton's binomial formulas for Schubert Calculus to determine numbers of base point free linear series on the projective line with prescribed ramification divisor supported at points in general position.
CORDOVEZ MANRIQUEZ, JORGE RAUL +6 more
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Positivity in equivariant Schubert calculus [PDF]
Duke Mathematical Journal, 2001 We prove a conjecture of Dale Peterson on positivity in the multiplication in the T-equivariant cohomology of the flag variety. The theorem follows from a more general positivity result about the equivariant cohomology of varieties with actions of a solvable group with finitely many orbits.
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Experimentation in the Schubert Calculus [PDF]
Advanced Studies in Pure Mathematics, 2018 Many aspects of Schubert calculus are easily modeled on a computer. This enables large-scale experimentation to investigate subtle and ill-understood phenomena in the Schubert calculus. A well-known web of conjectures and results in the real Schubert calculus has been inspired by this continuing experimentation.
del Campo, Abraham Martín +1 more
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Back stable Schubert calculus [PDF]
Compositio Mathematica, 2021 We study the back stable Schubert calculus of the infinite flag variety. Our main results are: – a formula for back stable (double) Schubert classes expressing them in terms of a symmetric function part and a finite part;
Lam, Thomas +2 more
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