Chern classes in equivariant bordism

We introduce Chern classes in $U(m)$ -equivariant homotopical bordism that refine the Conner–Floyd–Chern classes in the $\mathbf {MU}$ -cohomology of $B U(m)$ . For products of unitary groups, our Chern classes form regular sequences that generate the augmentation ideal of the equi...

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Bibliographic Details
Main Author: Stefan Schwede
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S205050942300124X/type/journal_article