J-tamed inflation via tame to compatible deformations

2024/03/28 by Chakravarthy, Pranav, Payette, Jordan, Pinsonnault, Martin · 1 citation
#53C15 #57R52 #FOS: Mathematics #Primary 53D35 #Secondary 57R17 #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2403.19110

Abstract

We give a complete and self-contained exposition of the J-tame inflation lemma: Given any tame almost complex structure J on a symplectic 4-manifold (M,ω), and given any compact, embedded, J-holomorphic submanifold Z, it is always possible to construct a deformation of symplectic forms ω_t in classes [ω_t]=[ω]+tPDZ, for 0≤ t less than an upper bound 0

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