Full signature invariants for $L_0(F(t))$
HTML articles powered by AMS MathViewer
- 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
- A. J. Casson and C. McA. Gordon, Cobordism of classical knots, À la recherche de la topologie perdue, Progr. Math., vol. 62, Birkhäuser Boston, Boston, MA, 1986, pp. 181–199. With an appendix by P. M. Gilmer. MR 900252
- P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478
- S. Friedl, Eta invariants as sliceness obstructions and their relation to Casson-Gordon invariants, Preprint (2003)
- Michel A. Kervaire, On higher dimensional knots, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp. 105–119. MR 0178475
- Serge Lang, Algebra, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965. MR 0197234
- J. Levine, Knot cobordism groups in codimension two, Comment. Math. Helv. 44 (1969), 229–244. MR 246314, DOI 10.1007/BF02564525
- R. A. Litherland, Cobordism of satellite knots, Four-manifold theory (Durham, N.H., 1982) Contemp. Math., vol. 35, Amer. Math. Soc., Providence, RI, 1984, pp. 327–362. MR 780587, DOI 10.1090/conm/035/780587
- Andrew Ranicki, High-dimensional knot theory, Springer Monographs in Mathematics, Springer-Verlag, New York, 1998. Algebraic surgery in codimension 2; With an appendix by Elmar Winkelnkemper. MR 1713074, DOI 10.1007/978-3-662-12011-8
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