Third-order braid invariants

DOI10.1088/0305-4470/24/17/019zbMath0747.57002OpenAlexW1994371069MaRDI QIDQ3990325

Mitchell A. Berger

Publication date: 28 June 1992

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/24/17/019

zbMATH Keywords

winding numberernergy of a set of braided magnetic flux tubesMassey third-order linking numberSecond-order winding numberthird-order winding numberthree-braided curvestwo-dimensional configuration space

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Massey products (55S30)

Related Items (8)

Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II ⋮ Automatic calculation of minimum crossing numbers of 3-braids. ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants ⋮ On a new integral formula for an invariant of 3-component oriented links ⋮ Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics ⋮ Energy-crossing number relations for braided magnetic fields ⋮ Bifurcation and chaos in a system simulating magnetic field configurations.

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