Quantum K-theory of grassmannians and non-abelian localization

Abstract

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.

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Cited by in corpus (6)

• BPS Indices, Modularity and Perturbations in Quantum K-theory
• Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles
• Multiplicative Quantum Cobordism Theory
• Quantum K-theory of flag varieties via non-abelian localization
• $K$-theoretic quasimap wall-crossing
• Virtual Coulomb branch and vertex functions