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The Chern-Weil homomorphism for deformed Hopf-Galois extensions

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arXiv:2312.12927v2 Announce Type: replace
Abstract: We compute the Chern-Weil map introduced by Hajac and Maszczyk associated with a Hopf-Galois extension in the case of $2$-cocycle deformation of the latter. We analyze the cases where the $2$-cocycle belongs to the structure Hopf algebra, an external symmetry, and the combined case. Moreover, we prove the naturality of the Chern-Weil map both in the deformed and not deformed case generalizing the classical result to the non-commutative case.

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