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Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43792

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 Thurstons gluing equation and Hakens normal surface equation. The action functional is the volume.
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[ Download ] [ 2019-12-24 20:58:33 uploaded by Feng_Luo ] [ 618 downloads ] [ 0 comments ] 
@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/20191224205833697739356},
  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/20191224205833697739356.
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