Abstract
In symplectic field theory (SFT), the moduli spaces of J-holomorphic curves can be oriented coherently (i.e., in a manner compatible with gluing). In this note, we correct the signs involved in the generating function H in SFT so that the master equation H· H= 0 holds assuming transversality. The orientation convention that we use is consistent with that of Hutchings–Taubes from (J Symplectic Geom 7(1):29–133, 2009), but differs from that of Bourgeois–Mohnke in (Math Z 248(1):123–146, 2004).
Original language | English (US) |
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Article number | 30 |
Journal | Mathematische Zeitschrift |
Volume | 305 |
Issue number | 2 |
DOIs | |
State | Published - Oct 2023 |
Bibliographical note
Publisher Copyright:© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Coherent orientation
- Contact homology
- Contact structure
- Symplectic field theory