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.
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The Schur positivity pattern of nabla^r G(k,n) depends exclusively on whether k divides n, resolving Bergeron's open problem.
Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.
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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.
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Schur positivity of nabla on Petrie symmetric functions
The Schur positivity pattern of nabla^r G(k,n) depends exclusively on whether k divides n, resolving Bergeron's open problem.
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Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.