Publications [#152561] of John Harer

Papers Accepted

1. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Extending persistence using Poincare and Lefschetz duality., Found. Comput. Math. (2008) [available here]
   (last updated on 2008/12/12)

   Abstract:
   We extend the methods of persistence and persistence diagrams to essential homology classes using Poincare' duality. We show that this extended definition satisfies duality and symmetry compatible with usual persistence, find a fast algorithm to compute it and discuss a variety of applications including the extension of the elevation function which is used to establish initial placements in protein docking prediction.