Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2021
• Автори: Dumitrescu, Olivia, Mulase, Motohico
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2021
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211313
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles. Olivia Dumitrescu and Motohico Mulase. SIGMA 17 (2021), 036, 53 pages

Quantum curves were introduced in the physics literature. We develop a mathematical framework for the case associated with Hitchin spectral curves. In this context, a quantum curve is a Rees 𝒟-module on a smooth projective algebraic curve, whose semi-classical limit produces the Hitchin spectral cur...