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Non-isotopic symplectic surfaces in product 4-manifolds
Authors:Christopher S. Hays   B. Doug Park
Affiliation:Department of Mathematics, Michigan State University, East Lansing, Michigan 48824 ; Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
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 $ ggeq 1$ and $ hgeq 0$.

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