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
A note on positive-definite, symplectic four-manifolds cover

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Abstract

We prove that a positive-definite smooth four-manifold with 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