Publications [#243576] of John Harer

Papers Published

1. with Edelsbrunner, H; Harer, J; Natarajan, V; Pascucci, V, Morse-Smale complexes for piecewise linear 3-manifolds, Proceedings of the Annual Symposium on Computational Geometry (January, 2003), pp. 361-370
   (last updated on 2024/04/24)

   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 complexes for piecewise linear data.