Wall-Crossing in Genus Zero K-theoretic Landau-Ginzburg Theory

Abstract

For a Fermat quasi-homogeneous polynomial W, we study a family of K-theoretic quantum invariants parametrized by a positive rational number ε. We prove a wall-crossing formula by showing the generating functions lie on the Lagrangian cone of the permutation-equivariant K-theoretic FJRW theory of W.

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