Invariants of Morse complexes, persistent homology and applications

Authors :: Barannikov, Serguei
Barannikov, S.
Université Paris Diderot - Paris 7 (UPD7)
Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG)
Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
NRU HSE , Moscow
Sobolev Institute of Mathematics
Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Université Pierre et Marie Curie - Paris 6 (UPMC)
Source :: International conference "Current developments in geometry", International conference "Current developments in geometry", NRU HSE Moscow; Sobolev Institute of Mathematics, Aug 2019, Novosibirsk, Russia
Publication Year :: 2019
Publisher :: HAL CCSD, 2019.
Abstract: International audience; The algorithm for calculation of "canonical form" = "persistence barcodes/diagrams" invariants from S.Barannikov "The Framed Morse complex and its invariants" Adv. in Sov. Math., vol 21, AMS transl, (1994), is described.

Subjects :: Persistence diagrams
[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA]
[MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG]
Persistence barcodes
[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]
Morse Theory
[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]
Morse complex
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Chain complexes
Persistent homology computation
[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]

Language :: English
Database :: OpenAIRE
Journal :: International conference "Current developments in geometry", International conference "Current developments in geometry", NRU HSE Moscow; Sobolev Institute of Mathematics, Aug 2019, Novosibirsk, Russia
Accession number :: edsair.dedup.wf.001..ab49398d930067b19d7698fd5c989f42

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