Publications [#166035] of John Harer

Papers Published

1. D. Cohen-Steiner, H. Edelsbrunner and J. Harer., Extending persistence using Poincare and Lefschetz duality, Found. Comput. Math., vol. p (2009), pp. 79-103, Erratum 133-134.
   (last updated on 2009/12/03)

   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.