Upsilon-like concordance invariants from ,Sl(n) knot cohomology

摘要

We construct smooth concordance invariants of knots K which take the form of piecewise linear maps I-n (K): [0, 1] -> R for n >= 2. These invariants arise from sl(n) knot cohomology. We verify some properties which are analogous to those of the invariant r (which arises from knot Floer homology), and some which differ. We make some explicit computations and give some topological applications.