The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary

Nicholas G. Vlamis; Andrew Yarmola

doi:10.1007/s10711-017-0267-4

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arXiv · 1608.00600

The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary

Nicholas G. Vlamis·Andrew Yarmola

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Abstract

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.

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BibTeX RIS

Nicholas G. Vlamis, Andrew Yarmola. 2016-08-01. The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary. https://doi.org/10.1007/s10711-017-0267-4

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