On thermodynamics and general relativity:
Patrick Iglesias-Zemmour, Jean-Marie Souriau Heat, cold and Geometry, in: M. Cahen et al (eds.) Differential geometry and mathematical physics, 37-68, D. Reidel 1983 (web, pdf, doi:978-94-009-7022-9_5)
Patrick Iglesias-Zemmour: Essai de «thermodynamique rationnelle» des milieux continus, Annales de l’I.H.P. Physique théorique, Volume 34 (1981) no. 1, p. 1-24 (numdam:AIHPA_1981__34_1_1_0)
On diffeological spaces (diffeology):
Comprehensive archive of monographs and publications: github.com/p-i-z/Diffeology-Archives
Patrick Iglesias-Zemmour, Fibrations difféologiques et Homotopie, Dissertation (1985) (web, pdf, pdf)
Patrick Iglesias-Zemmour, Diffeology, Mathematical Surveys and Monographs, AMS (2013) (web, publisher).
Reprint (revised version) by Beijing WPC (2022), World Map Technology, (pdf, publisher).
Exposition:
Patrick Iglesias-Zemmour: Diffeologies, talk at New Spaces for Mathematics and Physics, IHP Paris (2015) [video]
Patrick Iglesias-Zemmour: An introduction to diffeology, lecture at Modern Mathematics Methods in Physics: Diffeology, Categories and Toposes and Non-commutative Geometry Summer School (2018)
published in: New Spaces for Mathematics and Physics, Cambridge University Press (2021) 31-82 [doi:10.1017/9781108854429.003, pdf]
Patrick Iglesias-Zemmour: Why Diffeology? (2025) [pdf]
On the de Rham theorem over diffeological spaces:
Patrick Iglesias-Zemmour, Une cohomologie de Čech pour les espaces differentiables et sa relation a la cohomologie de De Rham (1988) [pdf, pdf]
Patrick Iglesias-Zemmour, Čech–De Rham bicomplex in diffeology, Israel Journal of Mathematics (2023) 1–38 [doi:10.1007/s11856-023-2486-8]
Emilio Minichiello, The Diffeological Čech-de Rham Obstruction [arXiv:2401.09400]
On orbifolds regarded as geometric local quotient diffeological spaces:
On the moment map in diffeology:
On Seifert manifolds and the corresponding orbifolds via diffeological spaces:
On manifolds with boundaries and corners as diffeological spaces, and on differential forms on these:
On orbifolds as stratified diffeological spaces:
On Noncommutative Geometry and diffeology:
Patrick Iglesias-Zemmour, Jean-Pierre Laffineur, Noncommutative geometry and diffeology: The case of orbifolds, Journal of Noncommutative Geometry, volume 12, issue 4 (2018). doi 10.4171/jncg/319.
Patrick Iglesias-Zemmour, Elisa Prato, Quasifolds, diffeology and noncommutative geometry, Journal of Noncommutative Geometry, volume 15, issue 2 (2021). doi 10.4171/jncg/419.
On geometric quantization in relation to path integrals and using diffeological spaces:
Patrick Iglesias-Zemmour: Geometric Quantization by Paths
Part I: The Simply Connected Case [arXiv:2508.11337]
Part II: The general case [arXiv:2512.24627]
Part III: The metaplectic anomaly [arXiv:2601.23259]
Last revised on March 25, 2026 at 09:18:27. See the history of this page for a list of all contributions to it.