Correlated Gromov-Witten Invariants

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Blomme, Thomas, Carocci, Francesca
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213530
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Correlated Gromov-Witten Invariants. Thomas Blomme and Francesca Carocci. SIGMA 21 (2025), 046, 49 pages

We introduce a geometric refinement of Gromov-Witten invariants for ℙ¹-bundles relative to the natural fiberwise boundary structure. We call these refined invariant correlated Gromov-Witten invariants. Furthermore, we prove a refinement of the degeneration formula, keeping track of the correlation....