A note on positive definite, symplectic four-manifolds
classification
🧮 math.GT
math.SG
keywords
definitehandlespositivesymplecticadmitcannoteitherfour-manifold
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We prove that a positive definite smooth four-manifold with $b_2^+ \geq 2$ and having either no 1-handles or no 3-handles cannot admit a symplectic structure.
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