Publications [#243574] of John Harer

Papers Published

1. Edelsbrunner, H; Harer, J; Zomorodian, A, Hierarchical Morse complexes for piecewise linear 2-manifolds, Proceedings of the Annual Symposium on Computational Geometry (January, 2001), pp. 70-79 [doi]
   (last updated on 2026/01/16)

   Abstract:
   We present algorithms for constructing a hierarchy of increasingly coarse Morse complexes that decompose a piecewise linear 2-manifold. While Morse complexes are defined only in the smooth category, we extend the construction to the piecewise linear category by ensuring structural integrity and simulating differentiability. We then simplify Morse complexes by cancelling pairs of critical points in order of increasing persistence.