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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 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Higher-dimensional contact manifolds with infinitely many Stein fillings
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by Takahiro Oba PDF
Trans. Amer. Math. Soc. 370 (2018), 5033-5050 Request permission

Abstract:

For any integer $n \geq 2$, we construct an infinite family of $(4n-1)$-dimensional contact manifolds, each of which admits infinitely many pairwise homotopy inequivalent Stein fillings.
References
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Additional Information
  • Takahiro Oba
  • Affiliation: Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguroku, Tokyo 152-8551, Japan
  • MR Author ID: 1121272
  • Email: oba.t.ac@m.titech.ac.jp, takahiroohba@gmail.com
  • Received by editor(s): August 4, 2016
  • Received by editor(s) in revised form: October 19, 2016, November 7, 2016, and November 9, 2016
  • Published electronically: March 22, 2018
  • Additional Notes: This work was partially supported by JSPS KAKENHI Grant Number 15J05214.
  • © Copyright 2018 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 370 (2018), 5033-5050
  • MSC (2010): Primary 57R17; Secondary 57R65
  • DOI: https://doi.org/10.1090/tran/7121
  • MathSciNet review: 3787380