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arXiv · 2206.08443

Coherent orientations in symplectic field theory revisited

Erkao Bao
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Abstract

In symplectic field theory (SFT), the moduli spaces of $J$-holomorphic curves can be oriented coherently (compatible with gluing). In this note, we correct the signs involved in the generating function $\mathbf H$ in SFT so that the master equation $\mathbf H \cdot \mathbf H = 0$ holds assuming transversality. The orientation convention that we use is consistent with that of Hutchings-Taubes from [HT09].

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Erkao Bao. 2022-06-16. Coherent orientations in symplectic field theory revisited. https://arxiv.org/abs/2206.08443

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