Dylan Cant

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A dimension formula for relative symplectic field theory

Dylan Cant

07-2022 (PhD Thesis)

Abstract:

This dissertation is devoted to proving virtual dimension formulas for the moduli spaces of holomorphic curves which appear in relative Symplectic Field Theory. The crucial ingredients are a generalization of the large antilinear deformation argument of Taubes and Gerig to the case when the domain of the curve has boundary and punctures, and an exponential convergence result generalizing the 3-dimensional results proved by Abbas.

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