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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Homologous non-isotopic symplectic surfaces of higher genus
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by B. Doug Park, Mainak Poddar and Stefano Vidussi PDF
Trans. Amer. Math. Soc. 359 (2007), 2651-2662 Request permission

Abstract:

We construct an infinite family of homologous, non-isotopic, symplectic surfaces of any genus greater than one in a certain class of closed, simply connected, symplectic four-manifolds. Our construction is the first example of this phenomenon for surfaces of genus greater than one.
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Additional Information
  • B. Doug Park
  • Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • Email: bdpark@math.uwaterloo.ca
  • Mainak Poddar
  • Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • Email: mpoddar@math.uwaterloo.ca
  • Stefano Vidussi
  • Affiliation: Department of Mathematics, University of California, Riverside, California 92521
  • Email: svidussi@math.ucr.edu
  • Received by editor(s): February 21, 2005
  • Published electronically: January 4, 2007
  • Additional Notes: The first author was partially supported by NSERC and CFI/OIT grants.
    The third author was partially supported by NSF grant #0306074.

  • Dedicated: Dedicated to Ron Fintushel on the occasion of his sixtieth birthday
  • © Copyright 2007 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 359 (2007), 2651-2662
  • MSC (2000): Primary 57R17, 57M05; Secondary 53D35, 57R95
  • DOI: https://doi.org/10.1090/S0002-9947-07-04168-2
  • MathSciNet review: 2286049