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Bordism of automorphisms of manifolds from the algebraic \(L\)-theory point of view. (English) Zbl 0933.57033

Quinn, Frank (ed.), Prospects in topology. Proceedings of a conference in honor of William Browder, Princeton, NJ, USA, March 1994. Princeton, NJ: Princeton University Press. Ann. Math. Stud. 138, 314-327 (1995).
Among other things, Browder initiated the application of surgery theory to the bordism of automorphisms of manifolds and the related study of fibred knots and open book decompositions. In this paper, the bordism of automorphisms of high-dimensional manifolds is considered from the point of view of the localization exact sequence in algebraic \(L\)-theory.
For the entire collection see [Zbl 0833.00037].

MSC:

57R90 Other types of cobordism
19G24 \(L\)-theory of group rings
57R67 Surgery obstructions, Wall groups
57M25 Knots and links in the \(3\)-sphere (MSC2010)