The Topological Theory of the Milnor Invariant $\bar{\mu }(1,2,3)$

Abstract

We study a topological Abelian gauge theory that generalizes the Abelian Chern-Simons one, and that leads in a natural way to the Milnor's link invariant $\bar{\mu }(1,2,3)$ when the classical action on-shell is calculated.

arXiv comment4 pages; corrected equation

References in corpus (5)

• The Extended Loop Group: An Infinite Dimensional Manifold Associated with the Loop Space
• Reshetikhin's Formula for the Jones Polynomial of a Link: Feynman diagrams and Milnor's Linking Numbers
• Link Invariants from Classical Chern-Simons Theory
• Chern-Simons Field Theories with Non-semisimple Gauge Group of Symmetry
• Surface-Invariants in 2D Classical Yang-Mills Theory

Cited by in corpus (5)

• Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions
• Pontryagin invariants and integral formulas for Milnor's triple linking number
• A study of polymer knots using a simple knot invariant written consisting of multiple contour integrals
• Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows, Part 2
• Dynamics of two topologically entangled chains