5 citations · 8 across the 5 of their papers we have counts for
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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…
New construction of the brane coproduct and vanishing of cup products on sphere spaces
Shun Wakatsuki
Using the loop coproduct, Menichi proved that the cup product with the orientation class vanishes for a closed connected oriented manifold with non-trivial Euler characteristic. We…
Nontrivial example of the composition of the brane product and coproduct on Gorenstein spaces
Shun Wakatsuki
We give an example of a space with the nontrivial composition of the brane product and the brane coproduct, which we introduced in a previous article.
Coproducts in brane topology
Shun Wakatsuki
We extend the loop product and the loop coproduct to the mapping space from the -dimensional sphere, or more generally from any -manifold, to a -connected space with finit…
Description and triviality of the loop products and coproducts for rational Gorenstein spaces
Shun Wakatsuki
Félix and Thomas extended the loop products and coproducts to simply-connected Gorenstein spaces. We explicitly describe these operations with rational coefficients in terms of Sul…