Math @ Duke

Publications [#243576] of John Harer
Papers Published
 with Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V, MorseSmale complexes for piecewise linear 3manifolds,
Proceedings of the Annual Symposium on Computational Geometry
(2003),
pp. 361370
(last updated on 2017/12/17)
Abstract: We define the MorseSmale complex of a Morse function over a 3manifold as the overlay of the descending and ascending manifolds of all critical points. In the generic case, its 3dimensional cells are shaped like crystals and are separated by quadrangular faces. In this paper, we give a combinatorial algorithm for constructing such complexes for piecewise linear data.


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