Characteristic classes for families of bundles
Characteristic classes for families of bundles
Abstract The generalized Millerā€“Moritaā€“Mumford classes of a manifold bundle with fiber M depend only on the underlying $$\tau _M$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Ļ„</mml:mi><mml:mi>M</mml:mi></mml:msub></mml:math> - fibration , meaning the family of vector bundles formed by the tangent bundles of the fibers. This motivates a closer study of the classifying space for $$\tau _M$$ ā€¦