Heat trace for Laplace type operators with non-scalar symbols, Journal of Geometry and Physics, vol.116, pp.90-118, 2017. ,
DOI : 10.1016/j.geomphys.2017.01.014
URL : https://hal.archives-ouvertes.fr/hal-01347436
Gauged Gravity via Spectral Asymptotics of non-Laplace type Operators, Journal of High Energy Physics, vol.32, issue.2, p.30, 2004. ,
DOI : 10.1007/978-3-642-58093-2
HEAT KERNEL ASYMPTOTICS OF OPERATORS WITH NON-LAPLACE PRINCIPAL PART, Reviews in Mathematical Physics, vol.5, issue.07, pp.847-890, 2001. ,
DOI : 10.1063/1.529179
Heat asymptotics for nonminimal Laplace type operators and application to noncommutative tori, Mathematica Notebook added as ancillary file on arXiv, 2017. ,
The Gauss?Bonnet theorem for the noncommutative two torus, Noncommutative Geometry, Arithmetic, and Related Topics, pp.141-158, 2011. ,
Modular curvature for noncommutative two-tori, Journal of the American Mathematical Society, vol.27, issue.3, pp.639-684, 2014. ,
DOI : 10.1090/S0894-0347-2014-00793-1
URL : http://arxiv.org/pdf/1110.3500
Scalar curvature for the noncommutative two torus, Journal of Noncommutative Geometry, vol.7, issue.4, pp.1145-1183, 2013. ,
DOI : 10.4171/JNCG/145
The Gauss???Bonnet Theorem for noncommutative two tori with a general conformal structure, Journal of Noncommutative Geometry, vol.6, issue.3, pp.457-480, 2012. ,
DOI : 10.4171/JNCG/97
Curved noncommutative torus and Gauss???Bonnet, Journal of Mathematical Physics, vol.55, issue.1, 2013. ,
DOI : 10.1134/S0081543810040152
Scalar curvature for noncommutative four-tori, Journal of Noncommutative Geometry, vol.9, issue.2, pp.473-503, 2015. ,
DOI : 10.4171/JNCG/198
URL : http://arxiv.org/pdf/1301.6135
Traces of Holomorphic Families of Operators on the Noncommutative Torus and on Hilbert Modules, Geometrics methods in Physics, pp.3-38, 2014. ,
DOI : 10.1007/978-3-319-18212-4_1
Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus, Journal of Pseudo-Differential Operators and Applications, vol.16, issue.3, pp.305-317, 2014. ,
DOI : 10.1016/0393-0440(94)00032-Y
On the scalar curvature for the noncommutative four torus, Journal of Mathematical Physics, vol.1289, issue.13, p.62303, 2015. ,
DOI : 10.1007/BFb0078372
An Asymmetric Noncommutative Torus, Symmetry, Integrability and Geometry: Methods and Applications, vol.11, issue.11, 2015. ,
DOI : 10.3842/SIGMA.2015.075
Modular curvature for toric noncommutative manifolds ,
On logarithmic Sobolev inequality and a scalar curvature formula for noncommutative tori ,
The term a 4 in the heat kernel expansion of noncommutative tori, 2016. ,
Modular Curvature and Morita Equivalence, Geometric and Functional Analysis, vol.40, issue.2, pp.818-873, 2016. ,
DOI : 10.1007/978-3-642-56579-3
URL : http://arxiv.org/pdf/1505.00964
Invariance theory, the heat equation and the Atiyah-Singer index theorem, Studies in Advanced Mathematics, 1995. ,
Asymptotic formulae in spectral geometry, 2003. ,
DOI : 10.1201/9780203490464
Operator algebras: theory of C * -algebras and von Neumann algebras, 2006. ,
DOI : 10.1007/3-540-28517-2
Divided differences in noncommutative geometry: Rearrangement Lemma, functional calculus and expansional formula, Journal of Noncommutative Geometry, vol.11, issue.1, pp.193-223, 2017. ,
DOI : 10.4171/JNCG/11-1-6