A jeu de taquin theory for increasing tableaux, with applications to K-theoretic Schubert calculus
We introduce a theory of jeu de taquin for increasing tableaux, extending fundamental work
of Schützenberger (1977) for standard Young tableaux. We apply this to give a new …
of Schützenberger (1977) for standard Young tableaux. We apply this to give a new …
K-theory of minuscule varieties
AS Buch, MJ Samuel - Journal für die reine und angewandte …, 2016 - degruyter.com
Abstract Based on Thomas and Yong's K-theoretic jeu de taquin algorithm, we prove a
uniform Littlewood–Richardson rule for the K-theoretic Schubert structure constants of all …
uniform Littlewood–Richardson rule for the K-theoretic Schubert structure constants of all …
[图书][B] Combinatorics of minuscule representations
RM Green - 2013 - books.google.com
Minuscule representations occur in a variety of contexts in mathematics and physics. They
are typically much easier to understand than representations in general, which means they …
are typically much easier to understand than representations in general, which means they …
Introduction to equivariant cohomology in algebraic geometry
D Anderson - Contributions to algebraic geometry, EMS Ser …, 2012 - books.google.com
A general principle of mathematics holds that one should exploit symmetry to simplify a
problem whenever possible. A common manifestation of symmetry is the action of a Lie …
problem whenever possible. A common manifestation of symmetry is the action of a Lie …
Quantum cohomology of minuscule homogeneous spaces
PE Chaput, L Manivel, N Perrin - Transformation Groups, 2008 - Springer
We study the quantum cohomology of (co) minuscule homogeneous varieties under a
unified perspective. We show that three points Gromov–Witten invariants can always be …
unified perspective. We show that three points Gromov–Witten invariants can always be …
Minuscule doppelgängers, the coincidental down-degree expectations property, and rowmotion
S Hopkins - Experimental Mathematics, 2022 - Taylor & Francis
Abstract We relate Reiner, Tenner, and Yong's coincidental down-degree expectations
(CDE) property of posets to the minuscule doppelgänger pairs studied by Hamaker, Patrias …
(CDE) property of posets to the minuscule doppelgänger pairs studied by Hamaker, Patrias …
Genomic tableaux
O Pechenik, A Yong - Journal of Algebraic Combinatorics, 2017 - Springer
We explain how genomic tableaux [Pechenik–Yong'15] are a semistandard complement to
increasing tableaux [Thomas–Yong'09]. From this perspective, one inherits genomic …
increasing tableaux [Thomas–Yong'09]. From this perspective, one inherits genomic …
Doppelgängers: bijections of plane partitions
Z Hamaker, R Patrias, O Pechenik… - International …, 2020 - academic.oup.com
We say two posets are doppelgängers if they have the same number of P-partitions of each
height k. We give a uniform framework for bijective proofs that posets are doppelgängers by …
height k. We give a uniform framework for bijective proofs that posets are doppelgängers by …
On the quantum cohomology of adjoint varieties
PE Chaput, N Perrin - Proceedings of the London Mathematical …, 2011 - Wiley Online Library
We study the quantum cohomology of adjoint and coadjoint homogeneous spaces. The
product of any two Schubert classes does not involve powers of the quantum parameter …
product of any two Schubert classes does not involve powers of the quantum parameter …
On the minimal power of q in a Kazhdan–Lusztig polynomial
On the minimal power of q in a Kazhdan–Lusztig polynomial - ScienceDirect Skip to main
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