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BP-cohomology of projective Stiefel manifolds

Published online by Cambridge University Press:  21 March 2022

Samik Basu
Affiliation:
Stat-Math Unit, Indian Statistical Institute, B. T. Road, Kolkata700108, India (samik.basu2@gmail.com; samikbasu@isical.ac.in; debanil12@gmail.com)
Debanil Dasgupta
Affiliation:
Stat-Math Unit, Indian Statistical Institute, B. T. Road, Kolkata700108, India (samik.basu2@gmail.com; samikbasu@isical.ac.in; debanil12@gmail.com)

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.

Type
Research Article
Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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