Bigraded cohomology of Z/2-equivariant Grassmannians
Daniel Dugger
TL;DR
This paper computes the RO(G)-graded cohomology of real Z/2-equivariant Grassmannians, providing insights into their algebraic topology and potential links to motivic characteristic classes.
Contribution
It presents the first explicit calculation of RO(G)-graded cohomology for these Grassmannians, advancing understanding of equivariant topology.
Findings
Determined the RO(G)-graded Eilenberg-MacLane cohomology
Identified connections with motivic characteristic classes
Extended known results in equivariant cohomology
Abstract
This paper determines the RO(G)-graded Eilenberg-MacLane cohomology of the real, infinite, equivariant Grassmannians in the case G=Z/2. Possible connections with motivic characteristic classes for quadratic bundles are briefly discussed.
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