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bp-cohomology

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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BP-cohomology of projective Stiefel manifolds
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Samik Basu, Debanil Dasgupta
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 153 / Issue 2 / April 2023

Published online by Cambridge University Press:

21 March 2022, pp. 679-701

Print publication:

April 2023
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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.