Whitehead-Torsion und Faserungen
Abstract
Description
This work treats on the question whether a given map f: M -> B of smooth closed manifolds is homotopic to a smooth fiber bundle. We define a first obstruction in H^1(B;Wh(π_1(E))) and, provided that this obstruction vanishes and one additional condition is verified, a second obstruction in Wh(π_1(E)) >. Both elements vanish if the answer to the above question is positive. In the case where B is the 1-sphere and the dimension of M exceeds five, we show that the converse is also true, using a relationship with two obstructions defined by Farrell in this particular situation.
Diploma thesis written at the WWU Muenster, Germany, supervised by Wolfgang Lueck. In German, 79 pages
Diploma thesis written at the WWU Muenster, Germany, supervised by Wolfgang Lueck. In German, 79 pages