Towards Catastrophe Theory for Khovanov–Rozansky Homology

We suggest another way to look at observables in cohomological quantum field theory, which are the Khovanov–Rozansky knot invariants. To do that, we briefly summarise our results on jumps in the analytic fo-rmulas for the Khovanov–Rozansky polynomials. We conclude from the empiric data that there are “re-gular” and “weird” catastrophes, which drastically differ by form of the associated jumps in the Khovanov–Rozansky polynomials. This is the first step towards a catastrophe theory for the observables in cohomological quantum field theory.