Linear Analysis on singular spaces: L^2-de Rham-Hodge and L^2-Atiyah-Bott-Lefschetz Theorems on stratified pseudomanifolds - Softcover

Bei, Francesco

9783639850093: Linear Analysis on singular spaces: L^2-de Rham-Hodge and L^2-Atiyah-Bott-Lefschetz Theorems on stratified pseudomanifolds

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ISBN 10: 3639850092 ISBN 13: 9783639850093

Publisher: Edizioni Accademiche Italiane, 2013

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During the last 30 years stratified pseudomanifolds turned out to be a very reach field of interactions between analysis and topology. The aim of this book is to explore some of these interactions. More precisely the book is divided in two parts. The first half is dedicated to the relationships between the L^2 de Rham cohomology, Hodge cohomology (both associated to a suitable incomplete riemannian metric) and the intersection cohomology of a stratified pseudomanifold. In particular the question of the Poincar� duality for the L^2 cohomology associated to an incomplete metric is discussed. The second half concerns the generalization of the well known theorem of Atiyah-Bott for elliptic complexes over a closed manifolds to the case of elliptic complexes of cone differential operators over a manifold with conical singularities.

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About the Author

Francesco Bei graduated in Mathematics at Universit� degli studi di Perugia. Subsequently he got his PhD in Mathematics at Sapienza, Universit� di Roma. He has currently a postdoc position at the Mathematics department of Humboldt-Universit�t zu Berlin.

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PublisherEdizioni Accademiche Italiane
Publication date2013
ISBN 10 3639850092
ISBN 13 9783639850093
BindingPaperback
LanguageEnglish
Number of pages108

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Linear Analysis on singular spaces

Francesco Bei

Published by Edizioni Accademiche Italiane Nov 2013, 2013

ISBN 10: 3639850092 ISBN 13: 9783639850093

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -During the last 30 years stratified pseudomanifolds turned out to be a very reach field of interactions between analysis and topology. The aim of this book is to explore some of these interactions. More precisely the book is divided in two parts. The first half is dedicated to the relationships between the L^2 de Rham cohomology, Hodge cohomology (both associated to a suitable incomplete riemannian metric) and the intersection cohomology of a stratified pseudomanifold. In particular the question of the Poincar� duality for the L^2 cohomology associated to an incomplete metric is discussed. The second half concerns the generalization of the well known theorem of Atiyah-Bott for elliptic complexes over a closed manifolds to the case of elliptic complexes of cone differential operators over a manifold with conical singularities. 108 pp. Englisch. Seller Inventory # 9783639850093

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Linear Analysis on singular spaces : L^2-de Rham-Hodge and L^2-Atiyah-Bott-Lefschetz Theorems on stratified pseudomanifolds

Francesco Bei

Published by Edizioni Accademiche Italiane, 2013

ISBN 10: 3639850092 ISBN 13: 9783639850093

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - During the last 30 years stratified pseudomanifolds turned out to be a very reach field of interactions between analysis and topology. The aim of this book is to explore some of these interactions. More precisely the book is divided in two parts. The first half is dedicated to the relationships between the L^2 de Rham cohomology, Hodge cohomology (both associated to a suitable incomplete riemannian metric) and the intersection cohomology of a stratified pseudomanifold. In particular the question of the Poincar� duality for the L^2 cohomology associated to an incomplete metric is discussed. The second half concerns the generalization of the well known theorem of Atiyah-Bott for elliptic complexes over a closed manifolds to the case of elliptic complexes of cone differential operators over a manifold with conical singularities. Seller Inventory # 9783639850093

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