Non-isotopic symplectic surfaces in product 4-manifolds

Hays, Christopher; Park, B.

doi:10.1090/S0002-9947-08-04717-X

Non-isotopic symplectic surfaces in product 4-manifolds
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by Christopher S. Hays and B. Doug Park PDF

Trans. Amer. Math. Soc. 360 (2008), 5771-5788 Request permission

Abstract:

Let $\Sigma _g$ be a closed Riemann surface of genus $g$. Generalizing Ivan Smith’s construction, we give the first examples of an infinite family of homotopic but pairwise non-isotopic symplectic surfaces of even genera inside the product symplectic $4$-manifolds $\Sigma _g \times \Sigma _h$, where $g\geq 1$ and $h\geq 0$.

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