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• W3101103653 startingPage "2658" @default.
• W3101103653 abstract "We analyze the perturbative series expansion of the vacuum expectation value of a Wilson loop in Chern–Simons gauge theory in the temporal gauge. From the analysis emerges the notion of the kernel of a Vassiliev invariant. The kernel of a Vassiliev invariant of order n is not a knot invariant, since it depends on the regular knot projection chosen, but it differs from a Vassiliev invariant by terms that vanish on knots with n singular crossings. We conjecture that Vassiliev invariants can be reconstructed from their kernels. We present the general form of the kernel of a Vassiliev invariant and we describe the reconstruction of the full primitive Vassiliev invariants at orders two, three, and four. At orders two and three we recover known combinatorial expressions for these invariants. At order four we present new combinatorial expressions for the two primitive Vassiliev invariants present at this order." @default.
• W3101103653 created "2020-11-23" @default.
• W3101103653 creator A5018885916 @default.
• W3101103653 creator A5033103983 @default.
• W3101103653 date "2000-05-01" @default.
• W3101103653 modified "2023-10-18" @default.
• W3101103653 title "Combinatorial formulas for Vassiliev invariants from Chern–Simons gauge theory" @default.
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• W3101103653 doi "https://doi.org/10.1063/1.533311" @default.
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