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Morse-smale complexes for piecewise linear 3-manifolds

Symposium on Computational Geometry 2013, pp.361-370, (2003)

Cited: 292|Views18
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Abstract

We define the Morse-Smale complex of a Morse function over a 3-manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its 3-dimensional cells are shaped like crystals and are separated by quadrangular faces. In this paper, we give a combinatorial algorithm for constructing such compl...More

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