Euler characteristics of cominuscule quantum K‐theory

Buch, Anders Skovsted; Chung, Sjuvon

doi:10.1112/jlms.12101

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This result was proved earlier in [5] by Buch and Chung when X is a cominuscule flag variety, such as a Grassmann variety of Lie type A or a maximal isotropic Grassmannian of type B, C, or D.…”

Section: Introductionmentioning

confidence: 53%

See 1 more Smart Citation

Euler characteristics in the quantum K-theory of flag varieties

Buch

Chung

et al. 2020

Sel. Math. New Ser.

Self Cite

View full text Add to dashboard Cite

We prove that the sheaf Euler characteristic of the product of a Schubert class and an opposite Schubert class in the quantum Ktheory ring of a (generalized) flag variety G/P is equal to q d , where d is the smallest degree of a rational curve joining the two Schubert varieties. This implies that the sum of the structure constants of any product of Schubert classes is equal to 1. Along the way, we provide a description of the smallest degree d in terms of its projections to flag varieties defined by maximal parabolic subgroups.

show abstract

Section: Introductionmentioning

confidence: 53%

“…The following identity is our main result. It was known in the special case where X is a cominuscule flag variety [5].…”

Section: 2mentioning

confidence: 99%