Persistence Diagram Bundles- A Multidimensional Generalization of Vineyards
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Intro
Persistent Homology (PH)
Existing approach: Vineyards
Motivation for new approach: Persistence diagram
Persistence Diagram Bundles
Special cases of PD bundles
Relationship to the fibered barcode in multiparamet
Decomposing a PD bundle into simpler parts
Stratifying the base space
Sections of PD bundles
How can we compute PD bundles?
Review: Computing vineyards
Algorithm for computing PD bundles
Future Applications
Taught by
Applied Algebraic Topology Network