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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Full signature invariants for $L_0(F(t))$
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by Stefan Friedl PDF
Proc. Amer. Math. Soc. 133 (2005), 647-653 Request permission

Abstract:

Let $F/\mathbb {Q}$ be a number field closed under complex conjugation. Denote by ${L}_0(F(t))$ the Witt group of hermitian forms over $F(t)$. We find full invariants for detecting non-zero elements in ${L}_0(F(t))\otimes \mathbb {Q}$. This group plays an important role in topology in the work done by Casson and Gordon.
References
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Additional Information
  • Stefan Friedl
  • Affiliation: Department of Mathematics, Ludwigs-Maximilian University, Theresienstrasse 39, 80333 München, Germany
  • Address at time of publication: Department of Mathematics, Rice University, 6100 Main Street, Houston, Texas 77005
  • MR Author ID: 746949
  • Email: friedl@mathematik.uni-muenchen.de, friedl@rice.edu
  • Received by editor(s): June 3, 2003
  • Received by editor(s) in revised form: October 9, 2003
  • Published electronically: October 7, 2004
  • Communicated by: Lance W. Small
  • © Copyright 2004 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 647-653
  • MSC (2000): Primary 18F25; Secondary 57M27
  • DOI: https://doi.org/10.1090/S0002-9939-04-07540-9
  • MathSciNet review: 2113910