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Resolvent, heat kernel and torsion under...

Albin, Pierre...

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Resolvent, heat kernel and torsion under degeneration to fibered cusps by Albin, Pierre ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	Manifolds with fibered cusps are a class of complete noncompact Riemannian manifolds including all 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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1410.8406

Citation

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AMA 11th EditionReferences

Albin, Pierre. Resolvent, heat kernel and torsion under degeneration to fibered cusps. Australian National University. September 06, 2023. Accessed November 05, 2024. https://online.provdatabase.com/cite/23781

APA 7th EditionReferences

Albin, Pierre. (2023). Resolvent, heat kernel and torsion under degeneration to fibered cusps. Australian National University. https://online.provdatabase.com/cite/23781

Chicago 17th EditionReferences

Albin, Pierre. Resolvent, heat kernel and torsion under degeneration to fibered cusps. Australian National University. 2023. https://online.provdatabase.com/cite/23781

HarvardReferences

Albin, Pierre. (2023). Resolvent, heat kernel and torsion under degeneration to fibered cusps. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23781. (Accessed 05 November 2024).

Harvard AustraliaReferences

Albin, Pierre, 2023, Resolvent, heat kernel and torsion under degeneration to fibered cusps, Australian National University, viewed 05 November 2024, <https://online.provdatabase.com/cite/23781>

MLA 9th EditionWorks Cited

Albin, Pierre. Resolvent, heat kernel and torsion under degeneration to fibered cusps. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23781.

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