Symplectic tori in homotopy $\mathbf {E}(1)$’s
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- by Stefano Vidussi PDF
- Proc. Amer. Math. Soc. 133 (2005), 2477-2481 Request permission
Abstract:
This short note presents a simple construction of nonisotopic symplectic tori representing the same primitive homology class in the symplectic $4$-manifold $E(1)_{K}$, obtained by knot surgery on the rational elliptic surface $E(1) = \mathbb {P}^{2} \# 9 {\overline {\mathbb {P}}^{2}}$ with the left-handed trefoil knot $K$. $E(1)_{K}$ has the simplest homotopy type among simply-connected symplectic $4$-manifolds known to exhibit such a property.References
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Additional Information
- Stefano Vidussi
- Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 70803
- Email: vidussi@math.ksu.edu
- Received by editor(s): July 1, 2003
- Received by editor(s) in revised form: September 8, 2003
- Published electronically: March 14, 2005
- Additional Notes: The author was supported in part by NSF Grant DMS-0306074.
- Communicated by: Ronald A. Fintushel
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2477-2481
- MSC (2000): Primary 57R17, 57R57
- DOI: https://doi.org/10.1090/S0002-9939-05-07527-1
- MathSciNet review: 2138891