Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Symplectic tori in homotopy $\mathbf{E}(1)$'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
Full-text PDF Free Access

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 $4$-manifold $E(1)_{K}$, obtained by knot surgery on the rational elliptic surface $E(1) = \mathbb{P} ^{2} \char93 9 {\overline{\mathbb{P} }^{2}}$ 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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 57R17, 57R57

Retrieve articles in all journals with MSC (2000): 57R17, 57R57

Additional Information

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

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
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

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia