The Ghost length, levels and shriek maps on classifying spaces
Algebraic Topology
2016-01-27 v2 Rings and Algebras
Representation Theory
Abstract
We give a lower bound of the cochain type level of the diagonal map on the classifying space of a Lie group by using the ghostness of a shriek map. Moreover, in a derived category, we discuss the triviality of the shriek map which induces the loop product on the classifying space of a Lie group.
Cite
@article{arxiv.1204.0311,
title = {The Ghost length, levels and shriek maps on classifying spaces},
author = {Katsuhiko Kuribayashi},
journal= {arXiv preprint arXiv:1204.0311},
year = {2016}
}
Comments
This has been withdrawn by the author. The same results as in this paper appear in "The ghost length and duality on the chain and cochain type levels" which is a new version of "Duality on the (co)chain type levels", arXiv:1108.3890