Complexes in Relative Elliptic Theory

Natalia Izvarina; Anton Savin

doi:10.32523/2077-9879-2020-11-4-45-57

Complexes in Relative Elliptic Theory

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Authors

Natalia Izvarina
Anton Savin

DOI:

https://doi.org/10.32523/2077-9879-2020-11-4-45-57

Keywords:

relative elliptic theory, complexes, elliptic operators, Green operators, relative de Rham theorem

Abstract

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.

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Published

2020-12-30

How to Cite

Izvarina, N., & Savin, A. (2020). Complexes in Relative Elliptic Theory. Eurasian Mathematical Journal, 11(4), 45–57. https://doi.org/10.32523/2077-9879-2020-11-4-45-57