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 $h\geq 0$.References
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Additional Information
- Christopher S. Hays
- Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
- Email: cshays@math.msu.edu
- B. Doug Park
- Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
- Email: bdpark@math.uwaterloo.ca
- Received by editor(s): June 5, 2006
- Published electronically: June 4, 2008
- © Copyright 2008 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 360 (2008), 5771-5788
- MSC (2000): Primary 57R17; Secondary 20F36, 57R52, 57R95
- DOI: https://doi.org/10.1090/S0002-9947-08-04717-X
- MathSciNet review: 2425690