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Towards a mirror theorem for GLSMs
- Part of
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- Journal:
- Compositio Mathematica / Volume 162 / Issue 1 / January 2026
- Published online by Cambridge University Press:
- 29 May 2026, pp. 125-164
- Print publication:
- January 2026
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- Article
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We propose a method for computing generating functions of genus-zero invariants of a gauged linear sigma model (GLSM)
$(V, G, \theta, w)$. We show that certain derivatives of I-functions of quasimap invariants of 
$[V\mathbin{/\mkern-6mu/}_\theta G]$ produce I-functions (appropriately defined) of the GLSM. When G is an algebraic torus, we obtain an explicit formula for an I-function, and check that it agrees with previously computed I-functions in known special cases. Our approach is based on a new construction of these invariants that applies whenever the evaluation maps from the moduli space are proper, and includes insertions from light marked points, which may collide with each other and with basepoints.
