A lower bound for higher topological complexity of real projective space
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DOI: 10.1016/j.jpaa.2017.11.003
Abstract: We obtain an explicit formula for the best lower bound for the higher topological complexity, TC_k(P^n), of real projective space implied by mod 2 cohomology. read more here.
Keywords: higher topological; real projective; lower bound; complexity real ... See more keywords
Effective topological complexity of orientable-surface groups
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DOI: 10.1016/j.topol.2020.107575
Abstract: We use rewriting systems to spell out cup-products in the (twisted) cohomology groups of a product of surface groups. This allows us to detect a non-trivial obstruction bounding from below the effective topological complexity of… read more here.
Keywords: surface groups; surface; topological complexity; effective topological ... See more keywords
On the topological complexity of Grassmann manifolds
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DOI: 10.1515/ms-2017-0425
Abstract: Abstract We prove that the topological complexity of a quaternionic flag manifold is half of its real dimension. For the real oriented Grassmann manifolds G͠n,k, 3 ≤ k ≤ [n/2], the zero-divisor cup-length of the… read more here.
Keywords: topological complexity; grassmann manifolds; complexity grassmann; complexity ... See more keywords