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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Topologically knotted Lagrangians in simply connected four-manifolds
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by Dave Auckly PDF
Proc. Amer. Math. Soc. 133 (2005), 885-889 Request permission

Abstract:

Vidussi was the first to construct knotted Lagrangian tori in simply connected four-dimensional manifolds. Fintushel and Stern introduced a second way to detect such knotting. This note demonstrates that similar examples may be distinguished by the fundamental group of the exterior.
References
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Additional Information
  • Dave Auckly
  • Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506-2602
  • MR Author ID: 305151
  • Received by editor(s): June 25, 2003
  • Received by editor(s) in revised form: November 5, 2003
  • Published electronically: August 4, 2004
  • Additional Notes: This work was partially supported by National Science Foundation grant DMS-0204651.
  • Communicated by: Ronald A. Fintushel
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 885-889
  • MSC (2000): Primary 53D12, 53D35
  • DOI: https://doi.org/10.1090/S0002-9939-04-07561-6
  • MathSciNet review: 2113940