William J. Ugalde

most citedDifferential forms and the Wodzicki residue

9 citations · 9 across the 3 of their papers we have counts for

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math.DG2004

A construction of critical GJMS operators using Wodzicki's residue

William J. Ugalde

For an even dimensional, compact, conformal manifold without boundary we construct a conformally invariant differential operator of order the dimension of the manifold. In the conf…

math.DG2002★ 9 cited

Differential forms and the Wodzicki residue

William J. Ugalde

For a pseudodifferential operator $S$ of order 0 acting on sections of a vector bundle $B$ on a compact manifold $M$ without boundary, we associate a differential form of order dim…

math.DG2002

Differential forms canonically associated to even-dimensional compact conformal manifolds

William J. Ugalde

On a 6-dimensional, conformal, oriented, compact manifold $M$ without boundary, we compute a whole family of differential forms $Ω_{6} (f, h)$ of order 6, with $f, h \in C^{\infty} (M) .$ E…