Symplectic tori in homotopy 's

Author:
Stefano Vidussi

Journal:
Proc. Amer. Math. Soc. **133** (2005), 2477-2481

MSC (2000):
Primary 57R17, 57R57

Published electronically:
March 14, 2005

MathSciNet review:
2138891

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Abstract | References | Similar Articles | Additional Information

Abstract: This short note presents a simple construction of nonisotopic symplectic tori representing the same primitive homology class in the symplectic -manifold , obtained by knot surgery on the rational elliptic surface with the left-handed trefoil knot . has the simplest homotopy type among simply-connected symplectic -manifolds known to exhibit such a property.

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Additional Information

**Stefano Vidussi**

Affiliation:
Department of Mathematics, Kansas State University, Manhattan, Kansas 70803

Email:
vidussi@math.ksu.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-05-07527-1

Keywords:
Symplectic $4$-manifolds,
Seiberg-Witten theory

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

Article copyright:
© Copyright 2005
American Mathematical Society