A note on positive-definite, symplectic four-manifolds

Jennifer Hom; Tye Lidman

doi:10.4171/jems/835

JournalsjemsVol. 21, No. 1pp. 257–270

A note on positive-definite, symplectic four-manifolds

Jennifer Hom
Georgia Institute of Technology, Atlanta, USA
Tye Lidman
North Carolina State University, Raleigh, USA

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Abstract

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.

Cite this article

Jennifer Hom, Tye Lidman, A note on positive-definite, symplectic four-manifolds. J. Eur. Math. Soc. 21 (2019), no. 1, pp. 257–270

DOI 10.4171/JEMS/835