Equivariant characteristic forms on the bundle of connections

  title={Equivariant characteristic forms on the bundle of connections},
  author={Roberto Ferreiro P{\'e}rez},
  journal={Journal of Geometry and Physics},
  • R. Pérez
  • Published 9 July 2003
  • Mathematics, Physics
  • Journal of Geometry and Physics
Abstract The characteristic forms on the bundle of connections of a principal bundle P → M of degree equal to or less than dim M , determine the characteristic classes of P , and those of degree k + dim ⁡ M determine certain differential k -forms on the space of connections A on P . The equivariant characteristic forms provide canonical equivariant extensions of these forms, and therefore canonical cohomology classes on A / Gau 0 P . More generally, for any closed β ∈ Ω r ( M ) and f ∈ I k G… 
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