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Mark Grant
Mark Grant
Senior Lecturer in Mathematics, University of Aberdeen
Verified email at abdn.ac.uk - Homepage
Title
Cited by
Cited by
Year
Robot motion planning, weights of cohomology classes, and cohomology operations
M Farber, M Grant
Proceedings of the American Mathematical Society 136 (9), 3339-3349, 2008
552008
Symmetric motion planning
M Farber, M Grant
Contemporary Mathematics 438, 85-104, 2007
522007
Topological complexity of configuration spaces
M Farber, M Grant
Proceedings of the American Mathematical Society 137 (5), 1841-1847, 2009
422009
Equivariant topological complexity
H Colman, M Grant
Algebraic & Geometric Topology 12 (4), 2299-2316, 2013
412013
Spaces of topological complexity one
M Grant, G Lupton, J Oprea
402013
Topological complexity of collision free motion planning algorithms in the presence of multiple moving obstacles
M Farber, M Grant, S Yuzvinsky
Contemporary Mathematics 438, 75-84, 2007
302007
Sequential motion planning of non-colliding particles in Euclidean spaces
J González, M Grant
Proceedings of the American Mathematical Society 143 (10), 4503-4512, 2015
292015
Bredon cohomology and robot motion planning
M Farber, M Grant, G Lupton, J Oprea
Algebraic & Geometric Topology 19 (4), 2023-2059, 2019
262019
Topological complexity, fibrations and symmetry
M Grant
Topology and its Applications 159 (1), 88-97, 2012
262012
New lower bounds for the topological complexity of aspherical spaces
M Grant, G Lupton, J Oprea
Topology and its Applications 189, 78-91, 2015
222015
A mapping theorem for topological complexity
M Grant, G Lupton, J Oprea
Algebraic & Geometric Topology 15 (3), 1643-1666, 2015
152015
Hopf invariants for sectional category with applications to topological robotics
J González, M Grant, L Vandembroucq
arXiv preprint arXiv:1405.6891, 2014
15*2014
The Poincaré–Hopf Theorem for line fields revisited
D Crowley, M Grant
Journal of Geometry and Physics 117, 187-196, 2017
132017
Bordism groups of immersions and classes represented by self-intersections
PJ Eccles, M Grant
Algebraic & Geometric Topology 7 (2), 1081-1097, 2007
132007
Topological complexity of motion planning in projective product spaces
J González, M Grant, E Torres-Giese, M Xicoténcatl
Algebraic & Geometric Topology 13 (2), 1027-1047, 2013
112013
Topological complexity of motion planning and Massey products
M Grant
arXiv preprint arXiv:0709.2287, 2007
112007
Bordism of immersions
M Grant
PQDT-Global, 2006
112006
Symmetrized topological complexity
M Grant
Journal of Topology and Analysis 11 (02), 387-403, 2019
92019
On realizing homology classes by maps of restricted complexity
M Grant, A Szűcs
Bulletin of the London Mathematical Society 45 (2), 329-340, 2013
92013
Equivariant dimensions of groups with operators
M Grant, E Meir, I Patchkoria
Groups Geom. Dyn 16 (3), 1049-1075, 2022
72022
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