DIFFERENTIAL GRADED MODULES OVER A NONCONNECTED DIFFERENTIAL GRADED ALGEBRA

[摘要] Let LAMBDA* be a not necessarily connected differential graded algebra. To each LAMBDA*-differential graded module we associate 'characteristic' classes which are invariants of the quasi-isomorphism class of this module and determine the Pontrjagin product by the 0th and the first homology group of LAMBDA*. We use them to determine the differential d2 of homology spectral sequences such as the Serre spectral sequence or the Borel equivariant spectral sequence. This is done without classical hypotheses such as a one-connected base or a connected group.

[发布日期] 1991-07-01