Bigraded cohomology of $\mathbb{Z}/2$–equivariant Grassmannians

Daniel Dugger

doi:10.2140/gt.2015.19.113

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Home > Journals > Geom. Topol. > Volume 19 > Issue 1 > Article

2015 Bigraded cohomology of $\mathbb{Z}/2$–equivariant Grassmannians

Daniel Dugger

Geom. Topol. 19(1): 113-170 (2015). DOI: 10.2140/gt.2015.19.113

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Abstract

We determine the $RO (G)$ –graded Eilenberg–MacLane cohomology (with mod $2$ coefficients) of the real, infinite Grassmannians in the case $G = ℤ ∕ 2$ . Possible connections to motivic characteristic classes of quadratic bundles are briefly discussed.

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Daniel Dugger. "Bigraded cohomology of $\mathbb{Z}/2$–equivariant Grassmannians." Geom. Topol. 19 (1) 113 - 170, 2015. https://doi.org/10.2140/gt.2015.19.113