Identities on hyperbolic manifolds

  • Martin Bridgeman

    Boston College, Chestnut Hill, USA
  • Ser Peow Tan

    National University of Singapore, Singapore
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In this survey, we discuss four classes of identities due principally to Basmajian, McShane, Bridgeman-Kahn and Luo-Tan on hyperbolic manifolds and provide a unified approach for proving them. We also elucidate on the connections between the various identities.