Last Update: 2019, January 8.
In the paper “Heat coefficient \(a_4\) for nonminimal Laplace type operators” (arXiv:1901.01391), we revisit the computation of \(\mathcal{R}_2\) (see our papers J. Geom. Phys. 2017 and J. Geom. Phys. 2018) and we present results for the computation of \(\mathcal{R}_4\). The results are presented with \(u\)-dependent operators which are universal (i.e. \(P\)-independent) and which act on tensor products of \(u\), \(p^\mu\), \(q\) and their derivatives via (also universal) spectral functions which are fully described. As an application, \(\mathcal{R}_2\) for the noncommutative \(2\)-torus is also investigated (\(\mathcal{R}_4\) will be published elsewhere).
The results of this paper rely on a computer program written in the object oriented language JavaScript with the framework Node.js. The source code of this computer program can be freely downloaded here:
Folder of the source code (zip archive)..
You may also consider participating to further developments on this program by joining the (private) project on GitLab. Please contact us to be invited.
This computer program is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.
Contact: thierry.masson [at] cpt.univ-mrs.fr