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Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras

Operator Algebras 2016-09-07 v1 Differential Geometry Quantum Algebra

Abstract

We give a construction of cyclic cocycles representing the equivariant characteristic classes of equivariant bundles. Our formulas generalize Connes' Godbillon-Vey cyclic cocycle. An essential tool of our construction is Connes-Moscovici's theory of cyclic cohomology of Hopf algebras.

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Cite

@article{arxiv.math/0002126,
  title  = {Secondary Characteristic Classes and Cyclic Cohomology of Hopf Algebras},
  author = {Alexander Gorokhovsky},
  journal= {arXiv preprint arXiv:math/0002126},
  year   = {2016}
}

Comments

27 pages