Tangent Weights and Invariant Curves in Type A Bow Varieties

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Authors: Foster, Alexander, Shou, Yiyan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212875
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Tangent Weights and Invariant Curves in Type A Bow Varieties. Alexander Foster and Yiyan Shou. SIGMA 21 (2025), 016, 33 pages

This paper provides a complete classification of torus-invariant curves in Cherkis bow varieties of type A. We develop combinatorial codes for compact and noncompact invariant curves involving the butterfly diagrams, Young diagrams, and binary contingency tables. As a key intermediate step, we also...