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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality (SpringerBriefs in Mathematics) - Tapa blanda
Sinopsis
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).
The methods outlined in the book fit into the tradition of the famous work of Sunada on the construction of isospectral, non-isometric manifolds, and thus do not focus on analytic techniques, but rather on algebraic methods: in particular, the analogy with constructions in number theory, methods from representation theory, and from algebraic topology.
The main goal of the book is to present the construction of finitely many "twisted" Laplace operators whose spectrum determines covering equivalence of two Riemannian manifolds.
The book has a leisure pace and presents details and examples that are hard to find in the literature, concerning: fiber products of manifolds and orbifolds, the distinction between the spectrum and the spectral zeta function for general operators, strong isospectrality, twisted Laplacians, the action of isometry groups on homology groups, monomial structures on group representations, geometric and group-theoretical realisation of coverings with wreath products as covering groups, and "class field theory" for manifolds. The book contains a wealth of worked examples and open problems. After perusing the book, the reader will have a comfortable working knowledge of the algebraic approach to isospectrality.
This is an open access book.
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Gunther Cornelissen holds the chair of geometry and number theory at Utrecht University. He earned his PhD from Ghent University in 1997 and has held visiting positions at institutions such as the Max Planck Institute for Mathematics in Bonn, Leuven University, California Institute of Technology and the University of Warwick. His research focuses on Arithmetic Geometry, particularly in positive characteristic, and also branches off into areas such as Spectral Geometry, Undecidability, Algebraic Dynamics and Graph Algorithms.
Norbert Peyerimhoff received his PhD in Mathematics in 1993 from the University of Augsburg. He held postdoctoral positions at the City University of New York, was an Assistant at the University of Basel and at the Ruhr University Bochum, before moving to Durham University (United Kingdom) in 2004. He has been a Professor of Geometry at Durham University since 2013, and his research interests include Differential Geometry, Discrete Geometry,Lie groups, Dynamical Systems, Spectral Theory and X-Ray Crystallography.
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Twisted Isospectrality, Homological Wideness, and Isometry : A Sample of Algebraic Methods in Isospectrality
Publicado por
Springer International Publishing, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Hervorragend. Zustand: Hervorragend | Seiten: 128 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 41696895/1
Cantidad disponible: 7 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry : A Sample of Algebraic Methods in Isospectrality
Publicado por
Springer International Publishing, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut | Seiten: 128 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 41696895/2
Cantidad disponible: 4 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry : A Sample of Algebraic Methods in Isospectrality
Publicado por
Springer International Publishing, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
Antiguo o usado
Tapa blanda
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Gut. Zustand: Gut | Seiten: 128 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 41696895/3
Cantidad disponible: 1 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality (SpringerBriefs in Mathematics)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In. Nº de ref. del artículo: ria9783031277030_new
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Twisted Isospectrality, Homological Wideness, and Isometry
Publicado por
Springer International Publishing Mai 2023, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
Nuevo
Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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).The methods outlined in the book fit into the tradition of the famous work of Sunada on the construction of isospectral, non-isometric manifolds, and thus do not focus on analytic techniques, but rather on algebraic methods: in particular, the analogy with constructions in number theory, methods from representation theory, and from algebraic topology.The main goal of the book is to present the construction of finitely many 'twisted' Laplace operators whose spectrum determines covering equivalence of two Riemannian manifolds.The book has a leisure pace and presents details and examples that are hard to find in the literature, concerning: fiber products of manifolds and orbifolds, the distinction between the spectrum and the spectral zeta function for general operators, strong isospectrality, twisted Laplacians, the action of isometry groups on homology groups, monomial structures on group representations, geometric and group-theoretical realisation of coverings with wreath products as covering groups, and 'class field theory' for manifolds. The book contains a wealth of worked examples and open problems. After perusing the book, the reader will have a comfortable working knowledge of the algebraic approach to isospectrality.This is an open access book. 128 pp. Englisch. Nº de ref. del artículo: 9783031277030
Cantidad disponible: 2 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry : A Sample of Algebraic Methods in Isospectrality
Publicado por
Springer International Publishing, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
Nuevo
Taschenbuch
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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).The methods outlined in the book fit into the tradition of the famous work of Sunada on the construction of isospectral, non-isometric manifolds, and thus do not focus on analytic techniques, but rather on algebraic methods: in particular, the analogy with constructions in number theory, methods from representation theory, and from algebraic topology.The main goal of the book is to present the construction of finitely many 'twisted' Laplace operators whose spectrum determines covering equivalence of two Riemannian manifolds.The book has a leisure pace and presents details and examples that are hard to find in the literature, concerning: fiber products of manifolds and orbifolds, the distinction between the spectrum and the spectral zeta function for general operators, strong isospectrality, twisted Laplacians, the action of isometry groups on homology groups, monomial structures on group representations, geometric and group-theoretical realisation of coverings with wreath products as covering groups, and 'class field theory' for manifolds. The book contains a wealth of worked examples and open problems. After perusing the book, the reader will have a comfortable working knowledge of the algebraic approach to isospectrality.This is an open access book. Nº de ref. del artículo: 9783031277030
Cantidad disponible: 1 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality (Paperback or Softback)
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Springer 5/11/2023, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
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Paperback or Softback. Condición: New. Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality 0.42. Book. Nº de ref. del artículo: BBS-9783031277030
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Twisted Isospectrality, Homological Wideness, and Isometry
Publicado por
Springer, Berlin|Springer International Publishing|Nederlandse Organisatie voor Wetenschappelijk Onderzoek|Springer, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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, . Nº de ref. del artículo: 807956966
Cantidad disponible: Más de 20 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry
Publicado por
Springer International Publishing, Springer Nature Switzerland Mai 2023, 2023
ISBN 10: 3031277031
ISBN 13: 9783031277030
Nuevo
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -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).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 128 pp. Englisch. Nº de ref. del artículo: 9783031277030
Cantidad disponible: 2 disponibles
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Twisted Isospectrality, Homological Wideness, and Isometry: A Sample of Algebraic Methods in Isospectrality (SpringerBriefs in Mathematics)
Librería: Books Puddle, New York, NY, Estados Unidos de America
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Condición: New. 1st ed. 2023 edition NO-PA16APR2015-KAP. Nº de ref. del artículo: 26396294394
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