The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866909131523227648 |
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| author | Vlamis, Nicholas G. Yarmola, Andrew |
| author_facet | Vlamis, Nicholas G. Yarmola, Andrew |
| contents | In this note, we extend the Bridgeman-Kahn identity to all finite-volume orientable hyperbolic $n$-manifolds with totally geodesic boundary. In the compact case, Bridgeman and Kahn are able to express the manifold's volume as the sum of a function over only the orthospectrum. For manifolds with non-compact boundary, our extension adds terms corresponding to intrinsic invariants of boundary cusps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1608_00600 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary Vlamis, Nicholas G. Yarmola, Andrew Geometric Topology 57M50, 32Q45 In this note, we extend the Bridgeman-Kahn identity to all finite-volume orientable hyperbolic $n$-manifolds with totally geodesic boundary. In the compact case, Bridgeman and Kahn are able to express the manifold's volume as the sum of a function over only the orthospectrum. For manifolds with non-compact boundary, our extension adds terms corresponding to intrinsic invariants of boundary cusps. |
| title | The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary |
| topic | Geometric Topology 57M50, 32Q45 |
| url | https://arxiv.org/abs/1608.00600 |