Publications
Publications
-
A geometrisation of N-manifolds, with Malte Heuer, "Journal de Mathématiques Pures et Appliquées" (open access) (2024), Volume 184, 1-70.
-
Modules and representations up to homotopy of Lie n-algebroids, with Rajan Mehta and Theocharis Papantonis, "Journal of homotopy and Related Structures" (open access) (2023), Volume 18, 23–70
-
Obstructions to Representations up to Homotopy and Ideals, "Asian Journal of Mathematics" (2022), no. 2, 137–166
-
Transitive double Lie algebroids via core diagrams, with Kirill Mackenzie, "Journal of Geometric Mechanics" (2021), Volume 13(3), 403-457
- On LA-Courant algebroids and Poisson Lie 2-algebroids, "Mathematical Physics, Analysis and Geometry" (open access) (2020), Volume 23:31
- Multiple vector bundles: cores, splittings and decompositions, with Malte Heuer, "Theory and Applications of Categories" (2020), Vol. 35, No. 19, 665-699
- Lie 2-algebroids and matched pairs of 2-representations -- a geometric approach, "Pacific Journal of Mathematics" (2019), Volume 301, Number 1, 143-188
- Dirac groupoids and Dirac bialgebroids, "Journal of Symplectic Geometry " (2019), Volume 17, Number 1, 179-238
- Natural lifts of Dorfman brackets. (with Charlotte Kirchhoff-Lukat), "Advances in Theoretical and Mathematical Physics" (2018), Volume 22, Number 6, 1401-1446
- The geometrisation of N-manifolds of degree 2, "Journal of Geometry and Physics" (2018), Volume 133, 113-140
- Dorfman connections and Courant algebroids, "Journal de Mathématiques Pures et Appliquées " (2018), Volume 116, 1-39
Note that the version of the paper available here has little corrections in Section 2.2.2 and Proposition 3.4. The errors that have been fixed there have no impact on the main results of the paper. - Double Lie algebroids and representations up to homotopy, (with Alfonso Gracia-Saz, Kirill Mackenzie and Rajan Mehta), "Journal of Homotopy and Related Structures " (open access) (2018), Volume 13, Issue 2, 287-319
- Homogeneous spaces of Dirac groupoids, "Journal of Geometry and Physics" (2016), Volume 104, 89-111
- Glanon groupoids, (with Mathieu Stiénon and Ping Xu), "Mathematische Annalen" (2016), Volume 364, Number 1, 485-518
- VB-algebroids morphisms and representations up to homotopy (with Thiago Drummond and Cristian Ortiz), "Differential Geometry and its Applications" (2015), Volume 40, 332-357
- Foliated groupoids and infinitesimal ideal systems, (with Cristian Ortiz), "Indagationes Mathematicae " (2014), Volume 25, Number 5, 1019-1053. Proceedings of the conference Poisson 2012
- Dirac Optimal reduction (with Tudor Ratiu), "International Mathematics Research Notices" (2013), Number 1, 84-155
- Dirac structures, nonholonomic systems and reduction (with Tudor Ratiu), "Reports on mathematical physics" (2012), Volume 69, Number 1, 5-56
- The leaf space of a multiplicative foliation, "Journal of geometric mechanics", (2012), Volume 4 (special volume Ratiufest), Number 3, 313-332
- Invariant generators for generalized distributions (with Tudor Ratiu), "Differential geometry and its applications" (2011), Volume 29, 826-837
- Invariant frames for vector bundles and applications (with Tudor Ratiu and Marco Zambon), "Geometriae Dedicata" (2011) 1-12
- Dirac Lie groups, Dirac homogeneous spaces and the Theorem of Drinfel'd, "Indiana University Mathematics Journal" (2011), Volume 60, Number 1, 319-36
- Induced Dirac structure on isotropy type manifolds (with Tudor Ratiu), "Transformation groups" (2011), Volume 16, Number 1, 175-191
- Singular reduction of Dirac structures (with Tudor Ratiu and Jedrzej Sniatycki), "Transactions of the AMS" (2011), Volume 363, 2967-3013
- Poisson reduction by distributions (with Tudor Ratiu), "Letters in Mathematical Physics" (2009), Volume 87, numbers 1--2
- Hedlund metrics and the stable norm , "Differential geometry and its applications", Volume 27 (2009), Issue 4
- Closedness of the Tangent Spaces to the Orbits of Proper Actions (with Karl-Hermann Neeb) Journal of Lie Theory, Volume 18 (2008), Number 3
Preprints
- Infinitesimal ideal systems and the Atiyah class, preliminary version, arXiv:1910.04492, 2019.
- Linear generalised complex structures, with Malte Heuer, submitted, arXiv:2011.14652, 2020.
- On the homotopy invariance of the twisted Lie algebroid cohomology, with Rosa Marchesini, submitted, arXiv:2407.19750, 2024.
- On the flows of linear vector fields, arXiv:2409.18723, 2024.
