Publications [#29134] of John Harer

Papers Published

1. with H. Edelsbrunner, V. Natarajan and V. Pascucci., Morse-Smale complexes for piecewise linear 3-manifolds., Proc. 19th Ann. Sympos. Comput. Geom. (2003), pp. 361-370.
   (last updated on 2004/12/15)

   Abstract:
   We define the Morse complex of a Morse function over a 3-manifold as the overlay of the stable and unstable 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. We also describe how to measure the persistence of the critical points and how to use that measurement to simplify the complex.