English

A note on positive definite, symplectic four-manifolds

Geometric Topology 2015-10-02 v1 Symplectic Geometry

Abstract

We prove that a positive definite smooth four-manifold with b2+2b_2^+ \geq 2 and having either no 1-handles or no 3-handles cannot admit a symplectic structure.

Keywords

Cite

@article{arxiv.1510.00373,
  title  = {A note on positive definite, symplectic four-manifolds},
  author = {Jennifer Hom and Tye Lidman},
  journal= {arXiv preprint arXiv:1510.00373},
  year   = {2015}
}

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12 pages