Homologous Non-isotopic Symplectic Surfaces of Higher Genus

Details Homologous Non-isotopic Symplectic Surfaces of Higher Genus Homologous Non-isotopic Symplectic Surfaces of Higher Genus

2006-01-31

arxiv.org/abs/math/0601748v1

Mathematics

Geometric Topology

12 pages, 3 figures. To appear in Trans. Amer. Math. Soc

Scientific paper

We construct an infinite family of homologous, non-isotopic, symplectic
surfaces of any genus greater than one in a certain class of closed, simply
connected, symplectic four-manifolds. Our construction is the first example of
this phenomenon for surfaces of genus greater than one.

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