3 papers
math.AT2019
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…
math.AT2019
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.
math.AT2018
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…