Invariant Differential Forms on Complexes of Graphs and Feynman Integrals

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автор: Brown, Francis
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211424
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Invariant Differential Forms on Complexes of Graphs and Feynman Integrals. Francis Brown. SIGMA 17 (2021), 103, 54 pages

We study differential forms on an algebraic compactification of a moduli space of metric graphs. Canonical examples of such forms are obtained by pulling back invariant differentials along a tropical Torelli map. The invariant differential forms in question generate the stable real cohomology of the...