Results 41 to 50 of about 58,374 (315)
Covering link calculus and iterated Bing doubles [PDF]
, 2018 We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n > 1 the (n+1)-st iterated Bing double of a knot is rationally slice if and only if the n-th iterated Bing double of the knot is rationally slice. The main
Kim, T, Cha, JC
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The Topology of Representational Geometry
Frontiers in NeuroscienceRepresentational similarity analysis (RSA) is a powerful tool for abstracting and then comparing neural representations across brains, regions, models and modalities. However, typical RSA analyses compares pairs of representational dissimilarities to judge similarity of two neural systems, and we argue that such methods can not capture the shape of ...
Shael Brown, Reza Farivar
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Asymptotic homology of graph braid groups [PDF]
, 2021 We give explicit formulas for the asymptotic Betti numbers of the unordered configuration spaces of an arbitrary finite graph over an arbitrary field.Comment: 19 pages, 6 figures.
Knudsen, Ben +3 more
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Asymmetric L-space knots [PDF]
, 2020 We construct the first examples of asymmetric L-space knots in S-3. More specifically, we exhibit a construction of hyperbolic knots in S-3 with both (i) a surgery that may be realized as a surgery on a strongly invertible link such that the result of ...
Baker, Kenneth L., Luecke, John
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A note on T-folds and T 3 fibrations
Journal of High Energy Physics, 2018 We study stringy modifications of T 3-fibered manifolds, where the fiber undergoes a monodromy in the T-duality group. We determine the fibration data defining such T-folds from a geometric model, by using a map between the duality group and the group of
Ismail Achmed-Zade +3 more
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Synchronization of Caputo fractional neural networks with bounded time variable delays
Open Mathematics, 2021 One of the main problems connected with neural networks is synchronization. We examine a model of a neural network with time-varying delay and also the case when the connection weights (the influential strength of the jjth neuron to the iith neuron) are ...
Almeida Ricardo +2 more
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Introduction to Periodic Geometry and Topology
CoRR, 2021 This monograph introduces key concepts and problems in the new research area of Periodic Geometry and Topology for materials applications.Periodic structures such as solid crystalline materials or textiles were previously classified in discrete and coarse ways that depend on manual choices or are unstable under perturbations.
Olga Anosova, Vitaliy Kurlin
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Differential Geometry of Identity Maps: A Survey [PDF]
, 2020 An identity map idM:M→M is a bijective map from a manifold M onto itself which carries each point of M return to the same point. To study the differential geometry of an identity map idM:M→M, we usually assume that the domain M and the range M ...
Bang-Yen Chen
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Geometrical Theory on Combinatorial Manifolds [PDF]
, 2005 Topological and differential structures such as those of d-pathwise connected, homotopy classes, fundamental d-groups in topology and tangent vector fields, tensor fields, connections, Minkowski norms in differential geometry on these finitely ...
Mao, Linfan
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Challenges and Opportunities in Machine Learning for Geometry [PDF]
, 2023 Over the past few decades, the mathematical community has accumulated a significant amount of pure mathematical data, which has been analyzed through supervised, semi-supervised, and unsupervised machine learning techniques with remarkable results, e.g.,
Adrià Costa-Roig +5 more
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