4 papers · 1 filter
A distance between maps via interleavings of relative Sullivan algebras
Katsuhiko Kuribayashi, Takahito Naito, Kengo Sekizuka +2
In this article, we consider extended tame persistence commutative differential graded algebras (CDGAs) associated with relative Sullivan algebras. In particular, if the relative S…
Algebraic interleavings of spaces over the classifying space of the circle
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
We bring spaces over the classifying space of the circle group to persistence theory via the singular cohomology with coefficients in a field. Then, the {\it cohomolog…
Minimal projective resolution and magnitude homology of geodetic metric spaces
Yasuhiko Asao, Shun Wakatsuki
Asao-Ivanov showed that magnitude homology is a Tor functor, hence we can compute it by giving a projective resolution of a certain module. In this article, we compute magnitude ho…
Cartan calculi on the free loop spaces
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
A typical example of a Cartan calculus consists of the Lie derivative and the contraction with vector fields of a manifold on the derivation ring of the de Rham complex. In this ma…