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.

Authors
Izvarina N.R. 1 , Savin A.Y. 1 , Burenkov V.I. 1
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Number of issue
4
Language
English
Pages
45-57
Status
Published
Link
External link
DOI
10.32523/2077-9879-2020-11-4-45-57
Volume
11
Year
2020
Organizations
  • 1 Anton Yurievich Savin Peoples' Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
Keywords
complexes; elliptic operators; Green operators; relative de Rham theorem.; relative elliptic theory
Date of creation
20.04.2021
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/72738/
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