7 citations · 10 across the 10 of their papers we have counts for
11 papers
Rational higher order Whitehead products of mapping spaces and defining systems
Takahito Naito
This paper gives an algebraic description of rational higher order Whitehead products in mapping spaces. Given a Sullivan representative of the base map, we introduce defining syst…
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…
The equalities of interleaving distances and cohomology interleavings of spaces over
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
The cohomology interleaving distance (CohID) is defined and considered in the category of persistent differential graded modules over a field. As a consequence, we show that, in th…
Cartan calculus in string topology
Takahito Naito
In this manuscript, we investigate a Cartan calculus on the homology of free loop spaces which is introduced by Kuribayashi, Wakatsuki, Yamaguchi and the author. In particular, it…
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…
A reduction of the string bracket to the loop product
Katsuhiko Kuribayashi, Takahito Naito, Shun Wakatsuki +1
The negative cyclic homology for a differential graded algebra over the rational field has a quotient of the Hochschild homology as a direct summand if the -action is trivial. W…