scholarly journals Lectures on the Geometry of Flag Varieties

2005 ◽  
pp. 33-85 ◽  
Author(s):  
Michel Brion
Keyword(s):  
Flag Varieties

Tropical flag varieties

2021 ◽  
Vol 384 ◽  
pp. 107695
Author(s):  
Madeline Brandt ◽  
Christopher Eur ◽  
Leon Zhang
Keyword(s):  
Flag Varieties

scholarly journals Projective normality of torus quotients of flag varieties

2020 ◽  
Vol 224 (10) ◽  
pp. 106389
Author(s):  
Arpita Nayek ◽  
S.K. Pattanayak ◽  
Shivang Jindal
Keyword(s):  
Flag Varieties ◽  
Projective Normality

scholarly journals Euler characteristics in the quantum K-theory of flag varieties

2020 ◽  
Vol 26 (2) ◽  
Author(s):  
Anders S. Buch ◽  
Sjuvon Chung ◽  
Changzheng Li ◽  
Leonardo C. Mihalcea
Keyword(s):  
Flag Varieties ◽  
Euler Characteristics ◽  
K Theory

Chow groups of some generically twisted flag varieties

2017 ◽  
Vol 2 (2) ◽  
pp. 341-356 ◽  
Author(s):  
Nikita Karpenko
Keyword(s):  
Chow Groups ◽  
Flag Varieties

scholarly journals Inversions Within Restricted Fillings of Young Tableaux

10.37236/1030 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Sarah Iveson
Keyword(s):  
Upper Bound ◽  
Exact Expression ◽  
Flag Varieties ◽  
Young Tableaux ◽  
Geometric Properties ◽  
Number Of Components ◽  
Hessenberg Varieties ◽  
Special Cases

In this paper we study inversions within restricted fillings of Young tableaux. These restricted fillings are of interest because they describe geometric properties of certain subvarieties, called Hessenberg varieties, of flag varieties. We give answers and partial answers to some conjectures posed by Tymoczko. In particular, we find the number of components of these varieties, give an upper bound on the dimensions of the varieties, and give an exact expression for the dimension in some special cases. The proofs given are all combinatorial.

scholarly journals The Quantum Cohomology Ring of Flag Varieties

1999 ◽  
Vol 351 (7) ◽  
pp. 2695-2729 ◽  
Author(s):  
Ionuţ Ciocan-Fontanine
Keyword(s):  
Cohomology Ring ◽  
Quantum Cohomology ◽  
Flag Varieties

Ulrich partitions for two-step flag varieties

2017 ◽  
Vol 10 (3) ◽  
pp. 531-539
Author(s):  
Izzet Coskun ◽  
Luke Jaskowiak
Keyword(s):  
Flag Varieties

scholarly journals Monotone Lagrangians in Flag Varieties

2019 ◽  
Author(s):  
Yunhyung Cho ◽  
Yoosik Kim
Keyword(s):  
Maslov Index ◽  
Chern Number ◽  
Flag Manifolds ◽  
Flag Varieties ◽  
Holomorphic Disk ◽  
Relative Version ◽  
Number Formula

Abstract In this paper, we give a formula for the Maslov index of a gradient holomorphic disk, which is a relative version of the Chern number formula of a gradient holomorphic sphere for a Hamiltonian $S^1$-action. Using the formula, we classify all monotone Lagrangian fibers of Gelfand–Cetlin systems on partial flag manifolds.

scholarly journals Semi-infinite Plücker Relations and Weyl Modules

2018 ◽  
Vol 2020 (14) ◽  
pp. 4357-4394 ◽  
Author(s):  
Evgeny Feigin ◽  
Ievgen Makedonskyi
Keyword(s):  
Type A ◽  
Character Formula ◽  
Flag Varieties ◽  
Coordinate Ring ◽  
Weyl Modules ◽  
Plücker Relations ◽  
Plücker Embedding ◽  
Formal Version ◽  
The Ideal

Abstract The goal of this paper is two-fold. First, we write down the semi-infinite Plücker relations, describing the Drinfeld–Plücker embedding of the (formal version of) semi-infinite flag varieties in type A. Second, we study the homogeneous coordinate ring, that is, the quotient by the ideal generated by the semi-infinite Plücker relations. We establish the isomorphism with the algebra of dual global Weyl modules and derive a new character formula.

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