Generating Function of Monodromy Symplectomorphism for 2 × 2 Fuchsian Systems and Its WKB Expansion
DOI:
https://doi.org/10.15407/mag19.02.301Анотація
Ми вивчаємо ВКБ розвинення 2 × 2 системи лiнiйних диференцiальних рiвнянь з фуксовими сингулярностями. Основна увага сфокусована на генерувальнiй функцiї монодромного симплектоморфiзму, яка, вiдповiдно до недавньої роботи [10], є тiсно пов’язаною з тау-функцiєю Джимбо–Мiви. Ми обчислюємо першi три члени ВКБ розвинення генерувальної функцiї та встановлюємо її зв’язок з тау-функцiєю Бергмана.
Mathematical Subject Classification 2020: 34M60, 53D22, 34M56
Ключові слова:
системи Фукса, вiдображення монодромiї, генерувальна функцiя, тау-функцiя, ВКБ розвиненняПосилання
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