Defines a new probabilistic lower-bound invariant for parametrized topological complexity and proves it matches classical behavior on Fadell-Neuwirth fibrations and sphere bundles but differs on real projective space bundles with SO structure groups.
LS-category and sequential topological complexity of symmetric products
2 Pith papers cite this work. Polarity classification is still indexing.
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2025 2verdicts
UNVERDICTED 2representative citing papers
Symmetric products of surfaces distinguish two macroscopic dimension notions and address Gromov-Lawson and Gromov conjectures in the Kaehler projective setting while connecting to minimal models and positivity in algebraic geometry.
citing papers explorer
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On the complexity of parametrized motion planning algorithms
Defines a new probabilistic lower-bound invariant for parametrized topological complexity and proves it matches classical behavior on Fadell-Neuwirth fibrations and sphere bundles but differs on real projective space bundles with SO structure groups.
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Curvature, macroscopic dimensions, and symmetric products of surfaces
Symmetric products of surfaces distinguish two macroscopic dimension notions and address Gromov-Lawson and Gromov conjectures in the Kaehler projective setting while connecting to minimal models and positivity in algebraic geometry.