Permutation-equivariant quantum K-theory II. Fixed point localization

Abstract

Using projective spaces as examples of toric manifolds, we examine K-theoretic fixed point localization. On the one hand, we will see how the permutation-equivariant theory of the point target space emerges as a necessary ingredient. On the other hand, we will completely characterize the genus-0 permutation-equivariant quantum K-theory of the given toric manifold in terms of such theory for the point, and a certain recursion relation.

12 pages, 2 figures

References in corpus (1)

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

Cited by in corpus (7)

• 3d Mirror Symmetry and Quantum $K$-theory of Hypertoric Varieties
• Quantum K-Theory of Calabi-Yau Manifolds
• 3d Mirror Symmetry for Instanton Moduli Spaces
• Quantum K-theory of grassmannians and non-abelian localization
• Quantum $K$-theory of toric varieties, level structures, and 3d mirror symmetry
• $K$-theoretic quasimap wall-crossing
• Quantum $K$-theory of projective spaces and confluence of $q$-difference equations