A Theory of Characteristic Currents Associated with a Singular Connection

@inproceedings{Harvey1993ATO,
  title={A Theory of Characteristic Currents Associated with a Singular Connection},
  author={Reese Harvey and H. Blaine Lawson},
  year={1993}
}
This note announces a general construction of characteristic currents for singular connections on a vector bundle. It develops, in particular, a Chern-Weil-Simons theory for smooth bundle maps a : E —> F which, for smooth connections on E and F , establishes formulas of the type <¡> = Kes^Zc + dT. Here <t> is a standard charactersitic form, Res¿ is an associated smooth "residue" form computed canonically in terms of curvature, Xa is a rectifiable current depending only on the singular structure… CONTINUE READING
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