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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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Newton-Okounkov polyhedra for character varieties and configuration spaces
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by Christopher Manon PDF
Trans. Amer. Math. Soc. 368 (2016), 5979-6003 Request permission

Abstract:

We construct families of Newton-Okounkov bodies for the free group character varieties and configuration spaces of any connected reductive group. We use this construction to give a proof that these spaces are Cohen-Macaulay.
References
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Additional Information
  • Christopher Manon
  • Affiliation: Department of Mathematics, George Mason University, Fairfax, Virginia 22030
  • Email: cmanon@gmu.edu
  • Received by editor(s): March 30, 2014
  • Received by editor(s) in revised form: December 18, 2014
  • Published electronically: September 15, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 5979-6003
  • MSC (2010): Primary 14M25; Secondary 14M15, 05E10
  • DOI: https://doi.org/10.1090/tran/6698
  • MathSciNet review: 3458404