Volume optimization, normal surfaces, and thurston’s equation on triangulated 3-manifolds

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9 Scopus citations

Abstract

We propose a finite-dimensional variational principle on triangulated 3-manifolds so that its critical points are related to solutions to Thurston’s gluing equation and Haken’s normal surface equation. The action functional is the volume.

Original languageEnglish (US)
Pages (from-to)299-326
Number of pages28
JournalJournal of Differential Geometry
Volume93
Issue number2
DOIs
StatePublished - Jan 1 2013

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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