Topological Signals of Singularities in Ricci Flow

Topological Signals of Singularities in Ricci Flow

We implement methods from computational homology to obtain a topological signal of singularity formation in a selection of geometries evolved numerically by Ricci flow. Our approach, based on persistent homology, produces precise, quantitative measures describing the behavior of an entire collection...

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Bibliographic Details
Main Authors: Paul M. Alsing, Howard A. Blair, Matthew Corne, Gordon Jones, Warner A. Miller, Konstantin Mischaikow, Vidit Nanda
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Axioms
Subjects:
persistent homology
Ricci flow
discrete Ricci flow
singularity detection
Online Access:https://www.mdpi.com/2075-1680/6/3/24

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