Homologous non-isotopic symplectic surfaces of higher genus

Park, B.; Poddar, Mainak; Vidussi, Stefano

doi:10.1090/S0002-9947-07-04168-2

Homologous non-isotopic symplectic surfaces of higher genus
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by B. Doug Park, Mainak Poddar and Stefano Vidussi PDF

Trans. Amer. Math. Soc. 359 (2007), 2651-2662 Request permission

Abstract:

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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