Abstract
Open books and automorphisms of manifolds were shown in Chaps. 28–30 to be closely related to the L-theory of the Laurent polynomial extensions A[z, z −1] of rings with involution A, with the involution extended by \(\bar z = {z^{ - 1}}\). High-dimensional knots have been shown in Chaps. 31–33 to be closely related to the L-theory of the polynomial extensions A[s]of rings with involution A, with the involution extended by \(\bar s = 1 - s\). This chapter deals with the L-theory of A[x] with \(\bar x = x\), which is somewhat easier to deal with, yet shares many essential features with the L-theories of A[z, z −1] and A[s].
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© 1998 Springer-Verlag Berlin Heidelberg
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Ranicki, A. (1998). Endomorphism L-theory. In: High-dimensional Knot Theory. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12011-8_34
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DOI: https://doi.org/10.1007/978-3-662-12011-8_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08329-7
Online ISBN: 978-3-662-12011-8
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