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Logiciel Année : 2019

Program computing the asymptotic expansion coefficients of the heat-trace for a nonminimal Laplace type operator

Résumé

In the paper “Heat coefficient $a_4$ for nonminimal Laplace type operators” (arXiv:1901.01391), we revisit the computation of $R_2$ (see our papers J. Geom. Phys. 2017 and J. Geom. Phys. 2018) and we present results for the computation of $R_4$. 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, $R_2$ for the noncommutative $2$-torus is also investigated ($R_4$ will be published elsewhere). The results of this paper rely on the current 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.
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