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We study two complex invariant manifolds associated with the parabolic fixed point of the area-preserving Henon 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 manifold, does not vanish. An interpretation in terms of Resurgence theory is also given.

Borel summation and splitting of separatrices for the Hénon map