Abstract
A multisignature is a collection of integer-valued signature invariants. For example, the torsion-free part of the symmetric Witt group L 0(F) of an algebraic number field F is detected by the multisignature consisting of the signatures associated to involution-preserving embeddings F → ℂ (37.2). Similarly, the torsion-free parts of the quadratic L-groups L 2*(ℤ[π]) for a finite group π are detected by the signatures associated to irreducible real representations of π (cf. 40.26 below). In these examples the multisignatures have a finite number of components.
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© 1998 Springer-Verlag Berlin Heidelberg
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Ranicki, A. (1998). The multisignature. In: High-dimensional Knot Theory. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12011-8_40
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DOI: https://doi.org/10.1007/978-3-662-12011-8_40
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08329-7
Online ISBN: 978-3-662-12011-8
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