Mirror theorem for elliptic quasimap invariants of local Calabi-Yau varieties
Hyenho Lho, Jeongseok Oh
TL;DR
This paper extends the calculation of elliptic quasimap invariants from Calabi-Yau complete intersections to local Calabi-Yau varieties, utilizing wall crossing formulas to compute elliptic Gromov-Witten potentials.
Contribution
It introduces a method to compute elliptic Gromov-Witten invariants for local Calabi-Yau varieties, expanding previous results from complete intersections.
Findings
Explicit calculation of elliptic quasimap invariants for local Calabi-Yau varieties
Application of wall crossing formulas to derive Gromov-Witten potential functions
Extension of mirror theorem techniques to new classes of Calabi-Yau geometries
Abstract
The elliptic quasimap potential function is explicitly calculated for Calabi-Yau complete intersections in projective spaces by Kim and Lho. We extend this result to local Calabi-Yau varieties. Using this as well as the wall crossing formula by Ciocan-Fontanine and Kim, we can calculate the elliptic Gromov-Witten potential function.
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