Localization computation of one-point disk invariants of projective Calabi-Yau complete intersections
Alexandra Popa
TL;DR
This paper introduces a localization-based method to compute one-point disk invariants of Calabi-Yau complete intersections, confirming a conjecture and establishing their rationality.
Contribution
It defines and computes one-point disk invariants for Calabi-Yau complete intersections with anti-holomorphic involution, providing a new formula and confirming a prior conjecture.
Findings
Invariants are rational numbers
Derived a formula for the invariants
Confirmed Jinzenji-Shimizu conjecture
Abstract
We define one-point disk invariants of a smooth projective Calabi-Yau (CY) complete intersection (CI) in the presence of an anti-holomorphic involution via localization. We show that these invariants are rational numbers and obtain a formula for them which confirms, in particular, a conjecture by Jinzenji-Shimizu.
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