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@@ -111,7 +111,7 @@ language={English},
@techreport{boissonnat:hal-00922572,
hal_id = {hal-00922572},
url = {http://hal.inria.fr/hal-00922572},
- title = {\href{http://hal.inria.fr/hal-00922572}{Computing Persistent Homology with Various Coefficient Fields in a Single Pass}},
+ title = {Computing Persistent Homology with Various Coefficient Fields in a Single Pass},
author = {Boissonnat, Jean-Daniel and Maria, Cl{\'e}ment},
abstract = {{In this article, we introduce the multi-field persistence diagram for the persistence homology of a filtered complex. It encodes compactly the superimposition of the persistence diagrams of the complex with several field coefficients, and provides a substantially more precise description of the topology of the filtered complex. Specifically, the multi-field persistence diagram encodes the Betti numbers of integral homology and the prime divisors of the torsion coefficients of the underlying shape. Moreover, it enjoys similar stability properties as the ones of standard persistence diagrams, with the appropriate notion of distance. These properties make the multi-field persistence diagram a useful tool in computational topology.}},
keywords = {Computational Topology, Persistent homology, Modular reconstruction},