F.R. Harvey, H.B. Lawson and J. Zweck, Secondary Characteristic Currents, (in preparation).  Home/Search   Document Not in Database   Summary   Related Articles

....the two sections. An intersection theory for zero currents divisors which does not suffer from the usual defect of non associativity is also presented in Section 9. This theory is a C 1 enhancement of Hardt s (associative) intersection theory for real analytic chains, H] In a forthcoming paper [HLZ] the Euler and top Chern sparks will be used to determine other differential characters using methods from intersection theory (see also [Fu] HL2] and [HZ] In particular, product formulae for the total Chern and total Pontryjagin sparks will be derived using the Euler spark product formula. ....

....The local Gauss Bonnet theorem (Corollary 5.9) states that the exterior derivative of the Euler spark of ff is doe(ff) Omega E ) Gamma Div(ff) where ( Omega E ) is the Chern Euler form of DE . In general we define secondary (or refined) de Rham cohomology classes as follows, see [HLZ]) Definition 7.5. The space of secondary (or refined) de Rham cohomology classes, e H (X) on X is the space of equivalence classes e H (X) L 1 loc (X) where the equivalence relation is defined for , j 2 L 1 loc (X) by j if and only if Gamma j = R dL; where R is ....

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F.R. Harvey, H.B. Lawson and J. Zweck, Secondary Characteristic Currents, (in preparation).

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