Reflection Vectors and Quantum Cohomology of Blowups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Milanov, Todor, Xia, Xiaokun
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212166
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Reflection Vectors and Quantum Cohomology of Blowups. Todor Milanov and Xiaokun Xia. SIGMA 20 (2024), 029, 60 pages

Let be a smooth projective variety with a semisimple quantum cohomology. It is known that the blowup Blₚₜ() of at one point also has semisimple quantum cohomology. In particular, the monodromy group of the quantum cohomology of Blₚₜ() is a reflectiongroup. We found explicit formulas for certain ge...