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# Arnold-type invariants of wave fronts on surfaces

@inproceedings{Tchernov1999ArnoldtypeIO, title={Arnold-type invariants of wave fronts on surfaces}, author={Vladimir Tchernov}, year={1999} }

- Published 1999

Recently Arnold's St and J ± invariants of generic planar curves have been generalized to the case of generic planar wave fronts. We generalize these invariants to the case of wave fronts on an arbitrary surface F. All invariants satisfying the axioms which naturally generalize the axioms used by Arnold are explicitly described. We also give an explicit formula for the finest order one J +-type invariant of fronts on an orientable surface F = S 2. We obtain necessary and sufficient conditions… CONTINUE READING