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BP-cohomology of projective Stiefel manifolds

Published 10 Sep 2021 in math.AT | (2109.04885v1)

Abstract: In this paper, we compute the BP-cohomology of complex projective Stiefel manifolds. The method involves the homotopy fixed point spectral sequence, and works for complex oriented cohomology theories. We also use these calculations and BP-operations to prove new results about equivariant maps between Stiefel manifolds.

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