The Ghost length, levels and shriek maps on classifying spaces

Katsuhiko Kuribayashi

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arXiv · 1204.0311

The Ghost length, levels and shriek maps on classifying spaces

Katsuhiko Kuribayashi

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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.

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Katsuhiko Kuribayashi. 2012-04-02. The Ghost length, levels and shriek maps on classifying spaces. https://arxiv.org/abs/1204.0311

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