Add to ORKGInternational audienceThe 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
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
There is canonical partition of set of critical values of smooth function into pairs "birth-death" a...
International audienceThe algorithm for calculation of "canonical form" = "persistence barcodes/diag...
Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, ...
There is canonical partition of set of critical values of function into pairs "birth-death" and a se...
There is canonical partition of set of critical values of function into pairs "birth-death" and a se...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
We define a class of multiparameter persistence modules that arise from a one-parameter family of fu...
International audienceGiven a compact smooth manifold $M$ with non-empty boundary and a Morse functi...
We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well ...
In this paper, we define the homological Morse numbers of a filtered cell complex in terms of the re...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
There is canonical partition of set of critical values of smooth function into pairs "birth-death" a...
International audienceThe algorithm for calculation of "canonical form" = "persistence barcodes/diag...
Given a Morse function f on a closed manifold M with distinct critical values, and given a field F, ...
There is canonical partition of set of critical values of function into pairs "birth-death" and a se...
There is canonical partition of set of critical values of function into pairs "birth-death" and a se...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
International audienceWe introduce a theoretical and computational framework to use discrete Morse t...
We define a class of multiparameter persistence modules that arise from a one-parameter family of fu...
International audienceGiven a compact smooth manifold $M$ with non-empty boundary and a Morse functi...
We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well ...
In this paper, we define the homological Morse numbers of a filtered cell complex in terms of the re...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...
This paper studies the homotopy-type of bi-filtrations of compact manifolds induced as the pre-image...