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.
Citation
Feng Luo. "Volume optimization, normal surfaces, and Thurston's equation on triangulated 3-manifolds." J. Differential Geom. 93 (2) 299 - 326, February 2013. https://doi.org/10.4310/jdg/1361800868
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