Research Output per year

## Fingerprint Dive into the research topics where Mark Grant is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 1 Similar Profiles

Topological Complexity
Mathematics

Motion Planning
Mathematics

Lusternik-Schnirelmann Category
Mathematics

Hopf Invariant
Mathematics

Subgroup
Mathematics

Braid Group
Mathematics

Immersion
Mathematics

Homology
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2007 2019

2
Citations
(Scopus)

### An upper bound for topological complexity

Farber, M., Grant, M., Lupton, G. & Oprea, J., 15 Mar 2019, In : Topology and its Applications. 255, p. 109-125 17 p.Research output: Contribution to journal › Article

Topological Complexity

Upper bound

Invariant

Universal Cover

Simplicial Complex

2
Citations
(Scopus)

20
Downloads
(Pure)

### Bredon cohomology and robot motion planning

Farber, M., Grant, M., Lupton, G. & Oprea, J., 16 Aug 2019, In : Algebraic & Geometric Topology. 19, 4, p. 2023-2059 37 p.Research output: Contribution to journal › Article

Motion Planning

Cohomology

Robot

Denote

Torsion-free Group

### Directed topological complexity of spheres

Borat, A. & Grant, M., 7 Sep 2019, In : Journal of applied and computational topology. 7 p.Research output: Contribution to journal › Article

Open Access

File

Topological Complexity

Homotopy Equivalence

### Hopf Invariants for sectional category with applications to topological robotics

González, J., Grant, M. & Vandembroucq, L., Dec 2019, In : Quarterly Journal of Mathematics. 70, 4, p. 1209-1252 43 p.Research output: Contribution to journal › Article

Hopf Invariant

Topological Complexity

Robotics

Lusternik-Schnirelmann Category

Cell Complex

### Morita Invariance of Equivariant Lusternik-Schnirelmann Category and Invariant Topological Complexity

Angel, A., Colman, H., Grant, M. & Oprea, J., 14 Aug 2019, (Submitted) ArXiv, 14 p.Research output: Working paper

Lusternik-Schnirelmann Category

Topological Complexity

Equivariant

Morita Equivalence

Invariance