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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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An approach to higher order linking invariants through holonomy and curvature
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by James J. Hebda and Chichen M. Tsau PDF
Trans. Amer. Math. Soc. 364 (2012), 4283-4301 Request permission

Abstract:

We study the Milnor–Massey linking invariants through the holonomy and curvature of certain nilpotent connections and their flat quotient connections. Versions of the Porter–Turaev Theorem are proved in the context of de Rham cohomology.
References
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Additional Information
  • James J. Hebda
  • Affiliation: Department of Mathematics and Computer Science, Saint Louis University, St. Louis, Missouri 63103
  • MR Author ID: 83165
  • Email: hebdajj@slu.edu
  • Chichen M. Tsau
  • Affiliation: Department of Mathematics and Computer Science, Saint Louis University, St. Louis, Missouri 63103
  • Email: tsaumc@slu.edu
  • Received by editor(s): September 25, 2009
  • Received by editor(s) in revised form: December 15, 2010
  • Published electronically: March 29, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 4283-4301
  • MSC (2010): Primary 57M25; Secondary 53C05, 57M27
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05547-4
  • MathSciNet review: 2912455