Gauge-Invariant Operators for Singular Knots in Chern-Simons Gauge Theory
J. M. F. Labastida, Esther Perez
TL;DR
This paper introduces gauge-invariant operators for singular knots within Chern-Simons theory, leading to new polynomial and Vassiliev invariants, and provides explicit formulas for the Kontsevich integral in this context.
Contribution
It constructs novel gauge-invariant operators for singular knots, enabling the computation of polynomial and Vassiliev invariants in Chern-Simons theory.
Findings
Operators yield new polynomial invariants.
Operators produce Vassiliev invariants for singular knots.
Explicit form of Kontsevich integral for singular knots.
Abstract
We construct gauge invariant operators for singular knots in the context of Chern-Simons gauge theory. These new operators provide polynomial invariants and Vassiliev invariants for singular knots. As an application we present the form of the Kontsevich integral for the case of singular knots.
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