The non-physics (pure mathematics) book that was recommended, “Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets (Series on Knots and Everything)”, I looked up citations to find 2019 citations of it in order to find “State of the art” in this particular specialized field of pure mathematics.
This can give you a taste of what’s happening at what I presume to be at the top level of this particular field of inquiry / creativity.
My general research process upon finding something new to me (Quantum knot theory is new to me) is to find the furthest extents and for that I find a well referenced textbook and follow a chain of popular citations (most #) until I reach [current year].
That gives me a taste of “What the experts are doing”.
From that, I can scale back to my needs, which are usually much smaller ans simpler by comparison.
“In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors). Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups;”
Funhouse math. Now that I can understand