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We study two complex invariant manifolds associated with the parabolic fixed point of
the area-preserving Hénon map. A single formal power series corresponds to both of them.
The Borel transform of the formal series defines an analytic germ. We explore the Riemann
surface and singularities of its analytic continuation. In particular we give a complete
description of the “first” singularity and prove that a constant, which describes the
splitting of the invariant manifolds, does not vanish. An interpretation...
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