An explicit Q-algebra automorphism of symmetric functions, given by q-deformations of power sums, converts the S_n-equivariant Euler characteristics of stable map moduli spaces to those of ε-stable quasimap moduli spaces over Grassmannians.
The moduli space of curves
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Motivic quasimap wall-crossing for Grassmannians
An explicit Q-algebra automorphism of symmetric functions, given by q-deformations of power sums, converts the S_n-equivariant Euler characteristics of stable map moduli spaces to those of ε-stable quasimap moduli spaces over Grassmannians.