HIGHER ORDER LINKING NUMBERS, CURVATURE AND HOLONOMY

DOI10.1142/S0218216502001913zbMath1027.57007MaRDI QIDQ4414933

Vittorio Penna, Mauro Spera

Publication date: 10 August 2003

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

curvaturelinkMilnor invariantsiterated path integralMassey numbersTuraev-Porter

Mathematics Subject Classification ID

Related Items (4)

A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS ⋮ An approach to higher order linking invariants through holonomy and curvature ⋮ ON SOME SYMPLECTIC ASPECTS OF KNOT FRAMINGS ⋮ ON UNCERTAINTY, BRAIDING AND ENTANGLEMENT IN GEOMETRIC QUANTUM MECHANICS

Cites Work

• Topology of linked defects in condensed matter
• Stokes' formula for Lie algebra valued connection and curvature forms
• On the Vassiliev knot invariants
• Isotopy invariants of links
• Link groups
• CHEN INTEGRALS, GENERALIZED LOOPS AND LOOP CALCULUS
• Iterated path integrals
• HIGHER ORDER LINKING NUMBERS
• ITERATED PATH INTEGRALS REALIZATION OF QUANTUM VORTEX CURRENTS: CONSTRUCTION OF THE TOPOLOGICAL INVARIANTS

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