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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Orientation-reversing involutions on handlebodies
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by John Kalliongis and Darryl McCullough PDF
Trans. Amer. Math. Soc. 348 (1996), 1739-1755 Request permission

Abstract:

The observation that the quotient orbifold of an orientation- reversing involution on a 3-dimensional handlebody has the structure of a compression body leads to a strong classification theorem, and general structure theorems. The structure theorems decompose the action along invariant discs into actions on handlebodies which preserve the $I$-fibers of some $I$-bundle structure. As applications, various results of R. Nelson are proved without restrictive hypotheses.
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Additional Information
  • John Kalliongis
  • Affiliation: Department of Mathematics, St. Louis University, St. Louis, Missouri 63103
  • Email: kalliongisje@sluvca.slu.edu
  • Darryl McCullough
  • Affiliation: Department of Mathematics, University of Oklahoma, Norman, Oklahoma 73019
  • Email: dmccullough@uoknor.edu
  • Received by editor(s): June 29, 1994
  • Received by editor(s) in revised form: May 4, 1995
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 1739-1755
  • MSC (1991): Primary 57M60; Secondary 57S25
  • DOI: https://doi.org/10.1090/S0002-9947-96-01515-2
  • MathSciNet review: 1329535