The Ghost length, levels and shriek maps on classifying spaces

Details The Ghost length, levels and shriek maps on classifying spaces The Ghost length, levels and shriek maps on classifying spaces

2012-04-02

arxiv.org/abs/1204.0311v1

Mathematics

Algebraic Topology

7 pages

Scientific paper

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.

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