2020/08/31 by Alexander Givental, Xiaohan Yan · 1 citation
Mathematics · #Abelian group #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Context (archaeology) #Equivariant map #Flag (linear algebra) #Hypergeometric distribution #Hypergeometric function #Mathematics #Pure mathematics #Quiver #Series (stratigraphy) #Type (biology) #math.AG #msc:14N35
paper · pdf · doi:10.3842/sigma.2021.018
published as SIGMA 17 (2021), 018, 24 pages
arxiv created 2021/02/26 · openalex publication_date 2021/02/26 · arxiv updated 2021/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In the example of complex grassmannians, we demonstrate various techniques available for computing genus-0 K-theoretic GW-invariants of flag manifolds and more general quiver varieties. In particular, we address explicit reconstruction of all such invariants using finite-difference operators, the role of the q-hypergeometric series arising in the context of quasimap compactifications of spaces of rational curves in such varieties, the theory of twisted GW-invariants including level structures, as well as the Jackson-type integrals playing the role of equivariant K-theoretic mirrors.