# Intertwined mappings

@inproceedings{calle2006IntertwinedM, title={Intertwined mappings}, author={Jean {\'E}calle}, year={2006} }

We show that, contrary to expectations, there exist pairs of formal and even analytic, non-commuting and non-elementary (neither algebraic nor algebraic-differential) mapping germs in Diff(C, 0) that are ‘entwined’ in a group relation W (f, g) = id. In the case of identity-tangent mappings, ‘twins’ exhibit, rather than analyticity, generic divergence , but of a particularly interesting sort : resurgent, accelero-summable, and with simple alien derivatives.

## 3 Citations

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