Moduli Spaces of J-holomorphic Curves with General Jet Constraints

2009/11/09 by Zhu, Ke
#53D35 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0911.1710

Abstract

In this paper, we prove that the tagent map of the holomorphic k- jet evaluation j^k_hol from the mapping space to holomorphic k-jet bundle, when restricted on the universal moduli space of simple J-holomorphic curves with one marked point, is surjective. From this we derive that for generic J, the moduli space of simple J-holomorphic curves in class β∈ H₂(M) with general jet constraints at marked points is a smooth manifold of expected dimension.

Related

• Moduli space of J-holomorphic subvarieties
• Moduli space of J-holomorphic subvarieties
• Holomorphic Jet Bundles
• Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an S¹-Equivariant Pair
• Automatic Transversality and Orbifolds of Punctured Holomorphic Curves in Dimension Four