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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality

Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality

Paperback

Series: Springerbriefs in Mathematics

General Mathematics

ISBN10: 3031277031
ISBN13: 9783031277030
Publisher: Springer Nature
Published: May 11 2023
Pages: 111
Weight: 0.42
Height: 0.27 Width: 6.14 Depth: 9.21
Language: English
The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric (coverings).

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General Mathematics