Pseudoisotopies and the Bökstedt trace

Author: Jahren Bjørn  

Publisher: Springer Publishing Company

ISSN: 0046-5755

Source: Geometriae Dedicata, Vol.148, Iss.1, 2010-10, pp. : 245-261

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Abstract

In this paper we study the group of isotopy classes of pseudoisotopies of a compact manifold of high dimension. We set up Igusa's exact sequence from the point of view of A</i>-theory and use the Bökstedt trace map to detect elements coming from the $${Wh^+_1}$$</EquationSource> -term. The main result relates the non-vanishing of $${pi_0mathcal{P}(M)}$$</EquationSource> to a curious question in group theory.