The Rational Toomer Invariant and Certain Elliptic Spaces

2003/09/24 by Gregory Lupton
Mathematics · #math.AT #msc:55P62 #msc:55M30 #msc:55T10

paper · pdf

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

arxiv created 2003/09/24 · arxiv updated 2009/12/01

Abstract

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 cat₀(X).

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