Some refined higher type adjunction inequalities on 4-manifolds

Chanyoung Sung

Some refined higher type adjunction inequalities on 4-manifolds

Geometric Topology 2014-06-18 v1

Authors: Chanyoung Sung

Abstract

We further sharpen higher type adjunction inequalities of P. Ozsv\'ath and Z. Szab\'o on a 4-manifold $M$ with a nonzero Seiberg-Witten invariant for a Spin $^c$ structure $\frak{s}$ , when an embedded surface $\Sigma\subset M$ satisfies $[\Sigma]\cdot [\Sigma]\geq 0$ and $|\langle [\Sigma],c_1(\frak{s})\rangle|+[\Sigma]\cdot [\Sigma]\geq 2b_1(M).$

Keywords

smooth 4-manifolds seiberg-witten invariants surfaces and embeddings

Cite

@article{arxiv.1406.4243,
  title  = {Some refined higher type adjunction inequalities on 4-manifolds},
  author = {Chanyoung Sung},
  journal= {arXiv preprint arXiv:1406.4243},
  year   = {2014}
}

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