A note on positive definite, symplectic four-manifolds

2015/10/01 by Jennifer Hom, Hom, Jennifer, Tye Lidman +1
Mathematics · #57R17 #57R58 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:57R17 #msc:57R58

paper · pdf · doi:10.48550/arxiv.1510.00373

12 pages

arxiv created 2015/10/01 · arxiv updated 2015/10/02

Abstract

We prove that a positive definite smooth four-manifold with b₂⁺ ≥ 2 and having either no 1-handles or no 3-handles cannot admit a symplectic structure.

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