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pro vyhledávání: '"Goldin, Rebecca"'
Autor:
Goldin, Rebecca, Precup, Martha
We study a collection of Hessenberg varieties in the type A flag variety associated to a nonzero semisimple matrix whose conjugacy class has minimal dimension. We prove each such minimal semisimple Hessenberg variety is a union Richardson varieties a
Externí odkaz:
http://arxiv.org/abs/2408.07017
Publikováno v:
Seminaire Lotharingien de Combinatoire, 91B (2024)
In [Hamaker-Pechenik-Speyer-Weigandt, Nenashev, Pechenik-Weigandt] are studied certain operators on polynomials and power series that commute with all divided difference operators $\partial_i$. We introduce a second set of "martial" operators {\marti
Externí odkaz:
http://arxiv.org/abs/2408.02040
Autor:
Goldin, Rebecca
We aim in this manuscript to describe a specific notion of geometric positivity that manifests in cohomology rings associated to the flag variety $G/B$ and, in some cases, to subvarieties of $G/B$. We offer an exposition on the the well-known geometr
Externí odkaz:
http://arxiv.org/abs/2306.14391
Autor:
Goldin, Rebecca, Tymoczko, Julianna
Hessenberg varieties $\mathcal{H}(X,H)$ form a class of subvarieties of the flag variety $G/B$, parameterized by an operator $X$ and certain subspaces $H$ of the Lie algebra of $G$. We identify several families of Hessenberg varieties in type $A_{n-1
Externí odkaz:
http://arxiv.org/abs/2301.09741
Publikováno v:
In Advances in Mathematics October 2024 455
Autor:
Goldin, Rebecca, Singh, Rahul
We present a formula for the Poincar\'e dual in the flag manifold of the equivariant fundamental class of any regular nilpotent or regular semisimple Hessenberg variety as a polynomial in terms of certain Chern classes. We then develop a type-indepen
Externí odkaz:
http://arxiv.org/abs/2111.15663
The Peterson variety is a subvariety of the flag manifold $G/B$ equipped with an action of a one-dimensional torus, and a torus invariant paving by affine cells, called Peterson cells. We prove that the equivariant pull-backs of Schubert classes inde
Externí odkaz:
http://arxiv.org/abs/2106.10372
Autor:
Goldin, Rebecca, Zhong, Changlong
We obtain a formula for structure constants of certain variant form of Bott-Samelson classes for equivariant oriented cohomology of flag varieties. Specializing to singular cohomology/K-theory, we recover formulas of structure constants of Schubert c
Externí odkaz:
http://arxiv.org/abs/2009.03466
Autor:
Goldin, Rebecca, Gorbutt, Brent
Peterson varieties are special nilpotent Hessenberg varieties that have appeared in the study of quantum cohomology, representation theory, and combinatorics. In type $A$, the Peterson variety $Y$ is a subvariety of the complete flag variety $Fl(n; \
Externí odkaz:
http://arxiv.org/abs/2004.05959
Autor:
Goldin, Rebecca, Knutson, Allen
We prove a formula for the structure constants of multiplication of equivariant Schubert classes in both equivariant cohomology and equivariant K-theory of Kac-Moody flag manifolds G/B. We introduce new operators whose coefficients compute these (in
Externí odkaz:
http://arxiv.org/abs/1909.05283