On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups

Details On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups On the Rothenberg-Steenrod spectral sequence for the mod 2 cohomology of classifying spaces of spinor groups

2009-04-05

arxiv.org/abs/0904.0800v1

Geom. Topol. Monogr. 13 (2008) 261-279

Mathematics

Algebraic Topology

This is the version published by Geometry & Topology Monographs on 25 February 2008

Scientific paper

10.2140/gtm.2008.13.261

We compute the cotorsion product of the mod 2 cohomology of spinor group
spin(n), which is the E_2-term of the Rothenberg-Steenrod spectral sequence for
the mod 2 cohomology of the classifying space of the spinor group spin(n). As a
consequence of this computation, we show the non-collapsing of the
Rothenberg-Steenrod spectral sequence for n > 16.

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