9 citations · 11 across the 4 of their papers we have counts for
4 papers
Some Conformal Invariants from the Noncommutative Residue for Manifolds with Boundary
William J. Ugalde
We review previous work of Alain Connes, and its extension by the author, on some conformal invariants obtained from the noncommutative residue on even dimensional compact manifold…
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…
Differential forms and the Wodzicki residue
William J. Ugalde
For a pseudodifferential operator of order 0 acting on sections of a vector bundle on a compact manifold without boundary, we associate a differential form of order dim…
Differential forms canonically associated to even-dimensional compact conformal manifolds
William J. Ugalde
On a 6-dimensional, conformal, oriented, compact manifold without boundary, we compute a whole family of differential forms of order 6, with E…