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Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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

Author(s): Stefan Friedl
Journal: Proc. Amer. Math. Soc. 133 (2005), 647-653.
MSC (2000): Primary 18F25; Secondary 57M27
Posted: October 7, 2004
MathSciNet review: 2113910
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Abstract | References | Similar articles | Additional information

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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S. Friedl, Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants, Preprint (2003)

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M. Kervaire, On higher dimensional knots, 1965 Differential and Combinatorial Topology, Princeton Univ. Press, Princeton, N.J.: pp. 105-119 (1965). MR 0178475 (31:2732)

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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: 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
Posted: October 7, 2004
Communicated by: Lance W. Small
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.




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