Resolvent Heat Kernel And Torsion Under Degeneration To Fibered Cusps

Author : Pierre Albin
Publisher :
ISBN 13 : 9781470464660
Total Pages : 0 pages
Book Rating : 4.67/5 ( download)

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Download or read book Resolvent, Heat Kernel, and Torsion Under Degeneration to Fibered Cusps written by Pierre Albin and published by . This book was released on 1900 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fibered cusp surgery metrics -- Pseudodifferential operator calculi -- Resolvent construction -- Projection onto the eigenspace of small eigenvalues -- Surgery heat space -- Solving the heat equation -- The R-torsion on manifolds with boundary -- The intersection R-torsion of Dar and L2-cohomology -- Analytic torsion conventions -- Asymptotics of analytic torsion -- A Cheeger-Muller theorem for fibered cusp manifolds.

Author : Pierre Albin
Publisher : American Mathematical Soc.
ISBN 13 : 1470444224
Total Pages : 126 pages
Book Rating : 4.28/5 ( download)

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Download or read book Resolvent, Heat Kernel, and Torsion under Degeneration to Fibered Cusps written by Pierre Albin and published by American Mathematical Soc.. This book was released on 2021-06-21 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary.

Author : Leonard Gross
Publisher : American Mathematical Society
ISBN 13 : 1470450534
Total Pages : 111 pages
Book Rating : 4.33/5 ( download)

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Author : Nuno Freitas
Publisher : American Mathematical Society
ISBN 13 : 1470452103
Total Pages : 105 pages
Book Rating : 4.00/5 ( download)

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Author : Franck Barthe
Publisher : American Mathematical Society
ISBN 13 : 1470451433
Total Pages : 90 pages
Book Rating : 4.31/5 ( download)

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Author : Sebastian Throm
Publisher : American Mathematical Society
ISBN 13 : 147044786X
Total Pages : 106 pages
Book Rating : 4.61/5 ( download)

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Author : Gian Paolo Leonardi
Publisher : American Mathematical Society
ISBN 13 : 1470451182
Total Pages : 86 pages
Book Rating : 4.89/5 ( download)

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Author : Alan Hammond
Publisher : American Mathematical Society
ISBN 13 : 1470452294
Total Pages : 131 pages
Book Rating : 4.92/5 ( download)

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Author : Matthias Grüninger
Publisher : American Mathematical Society
ISBN 13 : 1470451344
Total Pages : 154 pages
Book Rating : 4.49/5 ( download)

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Author : Alexander V. Kolesnikov
Publisher : American Mathematical Society
ISBN 13 : 1470451603
Total Pages : 78 pages
Book Rating : 4.08/5 ( download)

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Download or read book Local $L^p$-Brunn-Minkowski Inequalities for $p written by Alexander V. Kolesnikov and published by American Mathematical Society. This book was released on 2022-05-24 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.