Symplectic embeddings in infinite codimension

2014/04/09 by Araujo, Manuel, Granja, Gustavo
#57R17 #58A12 (Secondary) #58D10 (Primary) #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1404.2433

Abstract

Let X be a union of a sequence of symplectic manifolds of increasing dimension and let M be a manifold with a closed 2-form ω. We use Tischler's elementary method for constructing symplectic embeddings in complex projective space to show that the map from the space of embeddings of M in X to the cohomology class of ω given by pulling back the limiting symplectic form on X is a weak Serre fibration. Using the same technique we prove that, if b₂(M)

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