Publications [#139644] of John Harer

Papers Accepted

1. David Cohen-Steiner, Herbert Edelsbrunner, J. Harer, Extending Persistence Using Poincare' Duality, Foundations of Computational Mathematics (2007)
   (last updated on 2007/12/16)

   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.