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  Small eigenvalues of random 3-manifolds

Hamenstaedt, U., & Viaggi, G. (2022). Small eigenvalues of random 3-manifolds. Transactions of the American Mathematical Society, 375(6), 3795-3840. doi:10.1090/tran/8564.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000A-75C6-3 Version Permalink: https://hdl.handle.net/21.11116/0000-000A-75C7-2
Genre: Journal Article

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1903.08031.pdf (Preprint), 515KB
 
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 Creators:
Hamenstaedt, Ursula, Author
Viaggi, Gabriele1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Geometric Topology, Differential Geometry
 Abstract: We show that for every $g\geq 2$ there exists a number $c(g)>0$ such that the
smallest positive eigenvalue of a random closed 3-manifold $M$ of Heegaard
genus $g$ is at most $c(g)/{\rm vol}(M)^2$.

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Language(s): eng - English
 Dates: 2022
 Publication Status: Issued
 Pages: 46
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1903.08031
DOI: 10.1090/tran/8564
 Degree: -

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Title: Transactions of the American Mathematical Society
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 375 (6) Sequence Number: - Start / End Page: 3795 - 3840 Identifier: -