116 citations · 165 across the 13 of their papers we have counts for
13 papers
A Characterization of Whitney forms
Józef Dodziuk
We give a characterization of Whitney forms on an -simplex and prove that for every real valued simplicial -cochain on , the form is the unique differential $…
Gromov-Lawson Tunnels with Estimates
Józef Dodziuk
In an appendix to an earlier paper (cf. arXiv:1703.00984) we showed we showed how to construct tunnels of positive scalar curvature and of arbitrarily small length and volume conne…
Sewing Riemannian Manifolds with Positive Scalar Curvature
J. Basilio, J. Dodziuk, C. Sormani
We explore to what extent one may hope to preserve geometric properties of three dimensional manifolds with lower scalar curvature bounds under Gromov-Hausdorff and Intrinsic Flat…
Correction to "Harmonic representatives for cuspidal cohomology classes"
Jozef Dodziuk
This note gives a correction to the proof of the main result of "Harmonic representatives for cuspidal cohomology classes" by J. Dodziuk, J. McGowan and Peter Perry, an article tha…
The surjectivity of the combinatorial Laplacian on infinite graphs
Tullio Ceccherini-Silberstein, Michel Coornaert, Jozef Dodziuk
Given a connected locally finite simplicial graph with vertex set , the combinatorial Laplacian is defined on the space of all real-valued functi…
Elliptic operators on infinite graphs
J. Dodziuk
We present some applications of ideas from partial differential equations and differential geometry to the study of difference equations on infinite graphs. All operators that we c…