Packing Densities of Delzant and Semitoric Polygons

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Du, Yu, Kosmacher, Gabriel, Liu, Yichen, Massman, Jeff, Palmer, Joseph, Thieme, Timothy, Wu, Jerry, Zhang, Zheyu
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212050
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Packing Densities of Delzant and Semitoric Polygons. Yu Du, Gabriel Kosmacher, Yichen Liu, Jeff Massman, Joseph Palmer, Timothy Thieme, Jerry Wu and Zheyu Zhang. SIGMA 19 (2023), 081, 42 pages

Exploiting the relationship between 4-dimensional toric and semitoric integrable systems with Delzant and semitoric polygons, respectively, we develop techniques to compute certain equivariant packing densities and equivariant capacities of these systems by working exclusively with the polygons. Thi...