Loop Equations for Gromov-Witten Invariant of P¹

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Borot, G., Norbury, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210234
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Loop Equations for Gromov-Witten Invariant of P¹ / G. Borot, P. Norbury // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 17 назв. — англ.

We show that non-stationary Gromov-Witten invariants of P¹ can be extracted from open periods of the Eynard-Orantin topological recursion correlators ωg,ₙ whose Laurent series expansion at ∞ compute the stationary invariants. To do so, we overcome the technical difficulties to global loop equations...