A jeu de taquin theory for increasing tableaux, with applications to K-theoretic Schubert calculus

H Thomas, A Yong - Algebra & Number Theory, 2009 - msp.org
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 …

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 …

[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 …

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 …

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 …

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 …

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 …

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 …

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 …

On the minimal power of q in a Kazhdan–Lusztig polynomial

C Gaetz, Y Gao - Advances in Mathematics, 2024 - Elsevier
On the minimal power of q in a Kazhdan–Lusztig polynomial - ScienceDirect Skip to main
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