The Rational Toomer Invariant and Certain Elliptic Spaces

Details The Rational Toomer Invariant and Certain Elliptic Spaces The Rational Toomer Invariant and Certain Elliptic Spaces

2003-09-24

arxiv.org/abs/math/0309392v1

Contemporary Mathematics, Vol. 316 (2002), 135--146

Mathematics

Algebraic Topology

Scientific paper

We give an explicit formula for the rational category of an elliptic space whose minimal model has a homogeneous-length differential. We also show that for such a space, there are no gaps in the sequence of integers realized as the rational Toomer invariant of some cohomology class. With an additional hypothesis, we show a result from which we deduce the relation dim(H^*(X;Q)) >= 2 cat_0(X).

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