COMPLEXES IN RELATIVE ELLIPTIC THEORY

Given a pair (M, X), where X is a smooth submanifold in a smooth manifold M, we consider complexes of operators associated with this pair. We describe the notion of ellipticity in this situation and prove the Fredholm property for elliptic complexes. As applications, we consider the relative de Rham complex and Dolbeault complex. © 2020. All Rights Reserved.

Авторы
Издательство
Eurasian Mathematical Journal
Номер выпуска
4
Язык
Английский
Страницы
45-57
Статус
Опубликовано
Том
11
Год
2020
Организации
  • 1 Anton Yurievich Savin Peoples' Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Ключевые слова
complexes; elliptic operators; Green operators; relative de Rham theorem.; relative elliptic theory
Дата создания
20.04.2021
Дата изменения
21.07.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/72738/
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