Spectral geometry, link complements and surgery diagrams
We provide an upper bound on the Cheeger constant and first eigenvalue of the Laplacian of a finite-volume hyperbolic 3-manifold M, in terms of data from any surgery diagram for M. This has several consequences. We prove that a family of hyperbolic alternating link complements is expanding if and on...
Main Author: | Lackenby, M |
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Format: | Journal article |
Language: | English |
Published: |
2008
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