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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Full signature invariants for $L_0(F(t))$


Author: Stefan Friedl
Journal: Proc. Amer. Math. Soc. 133 (2005), 647-653
MSC (2000): Primary 18F25; Secondary 57M27
Published electronically: October 7, 2004
MathSciNet review: 2113910
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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.


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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
Email: friedl@mathematik.uni-muenchen.de, friedl@rice.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07540-9
PII: S 0002-9939(04)07540-9
Keywords: $L$--groups, knot theory.
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
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.