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

Feng Luo Rutgers University

Differential Geometry mathscidoc:1609.10300

Journal of Differential Geometry, 93, (2), 299-326, 2013
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.
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@inproceedings{feng2013volume,
  title={VOLUME OPTIMIZATION, NORMAL SURFACES, AND THURSTON’S EQUATION ON TRIANGULATED 3-MANIFOLDS},
  author={Feng Luo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914073928244012962},
  booktitle={Journal of Differential Geometry},
  volume={93},
  number={2},
  pages={299-326},
  year={2013},
}
Feng Luo. VOLUME OPTIMIZATION, NORMAL SURFACES, AND THURSTON’S EQUATION ON TRIANGULATED 3-MANIFOLDS. 2013. Vol. 93. In Journal of Differential Geometry. pp.299-326. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160914073928244012962.
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