The Rational Toomer Invariant and Certain Elliptic Spaces
Algebraic Topology
2007-05-23 v1
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 cat_0(X).
Keywords
Cite
@article{arxiv.math/0309392,
title = {The Rational Toomer Invariant and Certain Elliptic Spaces},
author = {Gregory Lupton},
journal= {arXiv preprint arXiv:math/0309392},
year = {2007}
}