In 1864, JC Maxwell introduced a link between self-stressed frameworks in the plane and
piecewise linear liftings to 3-space. This connection has found numerous applications in …

Heteroclinic connections represent unique opportunities for spacecraft to transfer between
isoenergetic libration point orbits for zero deterministic Δ V expenditure. However, methods …

Given a simplicial complex K, we consider several notions of geometric complexity of
embeddings of K in a Euclidean space R^ d R d: thickness, distortion, and refinement …

To each three-component link in the 3-sphere we associate a generalized Gauss map from
the 3-torus to the 2-sphere, and show that the pairwise linking numbers and Milnor triple …

The key topological indicators of spatial complexity are: number of boundaries, genus,
dimension, knottingness, braiding, linking/writhing and immersion of the surface or object: ie …

To each three-component link in the 3-sphere, we associate a geometrically natural
characteristic map from the 3-torus to the 2-sphere, and show that the pairwise linking …

Methods of generating heteroclinic connections between quasi-periodic orbits typically rely
on human-in-the-loop or machine learning techniques to find intersections in sets of data in …

arXiv:0802.0320v1 [math.GT] 4 Feb 2008 Page 1 arXiv:0802.0320v1 [math.GT] 4 Feb 2008
Linking integrals in the n-sphere Dennis DeTurck and Herman Gluck ABSTRACT Let K and L …

Generalized Gauss maps and integrals for three-component links: Toward higher helicities for
magnetic fields and fluid flows, pa Page 1 msp Algebraic & Geometric Topology 13 (2013) …

Linking integrals on rank-1-symmetric spaces Page 1 TRANSACTIONS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 377, Number 11, November 2024, Pages …