K-Theoretic Heisenberg Algebras and Permutation-Equivariant Gromov–Witten Theory

Abstract We found an interesting application of the K-theoretic Heisenberg algebras of Weiqiang Wang to the foundations of permutation equivariant K-theoretic Gromov–Witten theory. We also found an explicit formula for the genus 0 correlators in the permutation equivariant Gromov–Witten theory of the point. In the non-equivariant limit our formula reduces to a well-known formula due to Y.P. Lee.