This is a list of links to recent publications, or preprints, that seem relevant (as of 2019) in the field of diffeology and related topics. Your publication can be listed here upon request, it will be published after a short review. Please , send us an email with a link to your paper (in pdf). Do not send us the paper itself, we cannot host manuscripts.
Relative Cup Product in Diffeological Spaces, Enrique Macias-Virgos, Reihaneh Mehrabi (Jun 2023)
Diffeological Symplectic Frobenius Reciprocity, Gabriele Barbieri & Mauro Spera (Apr. 2023).
Orbifolds and orbibundles in complex hyperbolic geometry, Hugo Cattarucci Botós (Nov. 2022).
Submersions, Immersions, and Étale Maps in Diffeology, Alireza Ahmadi (Updt. May 2023).
On diffeologies for power sets and measures, Alireza Ahmadi & Jean-Pierre Magnot (March 2023).
Singular foliation through diffeology, David Miyamoto (March 2023).
Diffeological Symplectic Frobenius Reciprocity, Gabriele Barbieri & Mauro Spera (March 2023).
Diffeological Čech cohomology Alireza Ahmadi (March 2023).
On Multiplicative Spectral Sequences For Nerves And The Free Loop Spaces Katsuhiko Kuribayashi (Jan. 2023).
Elastic Diffeological Spaces. Christian Blohmann (Jan. 2023).
Projective model structures on diffeological spaces and smooth sets and the smooth Oka principle, Dmitri Pavlov (Oct. 2022).
Diffeology, Patrick Iglesias-Zemmour, Revised reprint, by Beijing WPC (Sept. 2022).
Correctness of Automatic Differentiation via Diffeologies and Categorical Gluing, Mathieu Huot, Sam Staton, Matthijs Vákár (Jan. 2020).
A smooth \(𝐴_\infty\) structure on a diffeological loop space, Norio Iwase (Jul. 2022).
A representation of the string 2-group, Peter Kristel, Matthias Ludewig and Konrad Waldorf (Jun. 2022).
The De Rham Theorem in Diffeology, Katsuhiko Kuribayashi (Jun. 2022).
\(C^\infty-\)manifolds with skeletal diffeology. Hiroshi Kihara, (May 2022).
Pushforward and projective diffeological vector pseudo-bundles. Enxin Wu, (May 2022).
Diffeological submanifolds and their friends. Yael Karshon, David Miyamoto & Jordan Watts (Apr. 2022).
Orbifolds as stratified diffeologies. Serap Gürer & Patrick Iglesias-Zemmour (Apr. 2022).
Diffeological Principal Bundles and Principal Infinity Bundles. Emilio Minichiello, (Feb. 2021).
Smooth singular complexes and diffeological principal bundles. Hiroshi Kihara, (Jan. 2022).
Sheaves, principal bundles, and Čech cohomology for diffeological spaces. Derek Krepski, Jordan Watts, Seth Wolbert, (Nov. 2021).
Smooth quasifibrations, Alireza Ahmadi (Nov. 2021).
Local systems in diffeology, Katsuhiko Kuribayashi (Sept. 2021).
The basic de Rham complex of a singular foliation, David Miyamoto (Feb. 2021).
Quasifolds, diffeology and noncommutative geometry, Patrick Iglesias-Zemmour & Elisa Prato (Jul. 2020).
Čech-De-Rham bicomplex in diffeology, Patrick Iglesias-Zemmour (May. 2020) Published in Israel Journal of Mathematics (May 2023) here the link .
A comparison between two de Rham complexes in diffeology, Katsuhiko Kuribayashi (Feb. 2020).
The orbit space and basic forms of a proper Lie groupoid, Jordan Watts (May 2020).
Every symplectic manifold is a (linear) coadjoint orbit, Paul Donato & Patrick Iglesias-Zemmour (Nov. 2019).