26 citations · 136 across the 24 of their papers we have counts for
33 papers
Comparison of equivariant cohomological dimensions
Mark Grant, Kevin Li, Ehud Meir +1
We compare three definitions of the equivariant cohomological dimension of a group with operators, coming from Takasu, Adamson and Bredon relative group cohomologies, giving exampl…
Parametrised topological complexity of group epimorphisms
Mark Grant
We show that the parametrised topological complexity of Cohen, Farber and Weinberger gives an invariant of group epimorphisms. We extend various bounds for the topological complexi…
Equivariant dimensions of groups with operators
Mark Grant, Ehud Meir, Irakli Patchkoria
Let be a group equipped with an action of a second group by automorphisms. We define the equivariant cohomological dimension , the equivariant geometric dime…
Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity
Andrés Angel, Hellen Colman, Mark Grant +1
We use the homotopy invariance of equivariant principal bundles to prove that the equivariant -category of Clapp and Puppe is invariant under Morita equivalence. As a…
Isotopy and homeomorphism of closed surface braids
Mark Grant, Agata Sienicka
The closure of a braid in a closed orientable surface is a link in . We classify such closed surface braids up to isotopy and homeomorphism (with a small indetermi…
Directed topological complexity of spheres
Ayse Borat, Mark Grant
We show that the directed topological complexity (as defined by E. Goubault) of the directed -sphere is , for all .