Dirac cohomology on manifolds with boundary and spectral lower bounds

Along the lines of the classic Hodge–De Rham theory a general decomposition theorem for sections of a Dirac bundle over a compact Riemannian manifold is proved by extending concepts as exterior derivative and coderivative as well as elliptic absolute and relative boundary conditions for both Dirac a...

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Bibliographic Details
Published in:	SN partial differential equations and applications Vol. 4; no. 6
Main Author:	Farinelli, Simone
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.12.2023
Subjects:	3. Applications of PDEs Analysis Mathematical and Computational Biology Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Numerical Analysis Original Paper Partial Differential Equations Theoretical 53C27 Dirac cohomology Spectral lower bounds Dirac operator 58J50
ISSN:	2662-2963, 2662-2971
Online Access:	Get full text
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