Abstract
On a 6-dimensional, conformal, oriented and compact manifold M without boundary we compute a whole family of differential forms Ω6(f, h) of order 6 with f, h ξ C ∞(M). Each of these forms will be symmetric on f and h, conformally invariant, and such that ∫ M f 0Ω6(f 1, f 2) defines a Hochschild 2-cocycle over the algebra C ∞ (M). In the particular 6-dimensional conformally flat case, we compute a unique form satisfying Wres(f 0[F,f][F, h])=∫M f 0Ω6(f, h) for the Fredholm module (H, F) associated by A. Connes [6] to the manifold M, and the Wodzicki residue Wres.
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Ugalde, W.J. (2004). Differential Forms Canonically Associated to Even-Dimensional Compact Conformal Manifolds. In: Abłamowicz, R. (eds) Clifford Algebras. Progress in Mathematical Physics, vol 34. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2044-2_14
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DOI: https://doi.org/10.1007/978-1-4612-2044-2_14
Publisher Name: Birkhäuser Boston
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