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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the realization of symplectic algebras and rational homotopy types by closed symplectic manifolds
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by Aleksandar Milivojević
Proc. Amer. Math. Soc. 149 (2021), 2257-2263
DOI: https://doi.org/10.1090/proc/15397
Published electronically: March 2, 2021

Abstract:

We answer a question of Oprea–Tralle on the realizability of symplectic algebras by symplectic manifolds in dimensions divisible by four, along with a question of Lupton–Oprea in all even dimensions. This will also allow us to address, in all even dimensions six and higher, another question of Oprea–Tralle on the possibility of algebraic conditions on the rational homotopy minimal model of a closed smooth manifold implying the existence of a symplectic structure on the manifold.
References
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Bibliographic Information
  • Aleksandar Milivojević
  • Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York 11794
  • ORCID: 0000-0003-0490-5344
  • Email: aleksandar.milivojevic@stonybrook.edu
  • Received by editor(s): August 4, 2020
  • Received by editor(s) in revised form: October 16, 2020
  • Published electronically: March 2, 2021
  • Communicated by: Julie Bergner
  • © Copyright 2021 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 2257-2263
  • MSC (2020): Primary 55P62, 53C15
  • DOI: https://doi.org/10.1090/proc/15397
  • MathSciNet review: 4232215