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Symplectic tori in homotopy 's
Author(s):
Stefano
Vidussi
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2477-2481.
MSC (2000):
Primary 57R17, 57R57
Posted:
March 14, 2005
MathSciNet review:
2138891
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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.
References:
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Additional Information:
Stefano
Vidussi
Affiliation:
Department of Mathematics, Kansas State University, Manhattan, Kansas 70803
Email:
vidussi@math.ksu.edu
DOI:
10.1090/S0002-9939-05-07527-1
PII:
S 0002-9939(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.
Posted:
March 14, 2005
Additional Notes:
The author was supported in part by NSF Grant DMS-0306074.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2005,
American Mathematical Society
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