Permutation-equivariant quantum K-theory V. Toric $q$-hypergeometric functions

Abstract

We first retell in the K-theoretic context the heuristics of $S^1$-equivariant Floer theory on loop spaces which gives rise to $D_q$-module structures, and in the case of toric manifolds, vector bundles, or super-bundles to their explicit $q$-hypergeometric solutions. Then, using the fixed point localization technique developed in Parts II--IV, we prove that these $q$-hypergeometric solutions represent K-theoretic Gromov-Witten invariants.

11 pages, 1 figure

References in corpus (1)

• The Hirzebruch--Riemann--Roch theorem in true genus-0 quantum K-theory

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