Publications and Preprints
Below you can find the list of my papers and preprints.
Papers and Preprints
Morse theory on Lie groupoids, with F. Valencia.
Mathematische Zeitschrift, Vol. 307 (46) (2024).)Preprint available in arXiv:2207.07594
Complex Dirac structures with constant real index on flag manifolds, with C. Varea.
Annali di Matematica Pura ed Applicata, Vol. 203, 1093-1114 (2024). Preprint available in arXiv:2304.05158
The Chern-Weil-Lecomte characteristic map for L∞-algebras, with S. Herrera. Preprint available in arXiv:2306.04465 (2023)
Quotients of multiplicative forms and Poisson reduction, with A. Cabrera.
Differential Geometry and its Applications Vol. 83 (2022) 101898. Preprint available in arXiv:2008.03416
Morita equivalences of vector bundles, with M. del Hoyo.
International Mathematics Research Notices Vol. 2020 (14) 4395-4432 (2020). Preprint available in arXiv:1612.09289
6. On the Lie 2-algebra of sections of an LA-groupoid, with J. Waldron.
Journal of Geometry and Physics, Vol. 145 (2019) Preprint available in arxiv:1703:09791
7. Integration of 2-term representations up to homotopy via 2-functors, with O. Brahic.
Transactions of the American Mathematical Society, Vol. 372 (1) 503-543 (2019). Preprint available in arXiv:1608.00664
8. Obstructions to the integrability of VB-algebroids, with O. Brahic and A. Cabrera.
Journal of Symplectic Geometry, Vol.16 (2) 439-483 (2018). Preprint available in arXiv:1403.1990
9. VB-algebroid morphisms and representations up to homotopy, with T. Drummond and M. Jotz.
Differential Geometry and its Applications 40, 332-357 (2015). Preprint available in arXiv:1302.3987
10. Multiplicative Dirac structures.
Pac. Journal of Mathematics 266 (2), 329-365 (2013). Preprint available in arXiv:1212.0176
11. Foliated groupoids and infinitesimal ideal systems, with M. Jotz.
Indag. Mathematicae, 25, 1019-1053, (2014). Preprint available in arXiv:1109.4515
12. B-field transformations of Poisson groupoids.
Proceedings of the Second Latin Congress on Symmetries in Geometry and Physics, Matemática Contemporânea, Vol. 41, 113-148 (2012). Preprint available in arXiv:1107.3343
13. Linear and multiplicative 2-forms, with H. Bursztyn and A. Cabrera.
Letters in Mathematical Physics, 90, 59-83 (2009). Preprint available in arXiv:0911.0441
14. Multiplicative Dirac structures on Lie groups.
C.R. Acad. Sci. Paris, Ser.I 346 1279-1282 (2008). Preprint available in arXiv:0906.2373
Other Publications
Sobre la verdad y la nobleza de la ciencia (In Spanish). Available here.
Preface to "La moral y la ciencia" - Spanish translation of "La Morale et la Science" by Henri Poincaré.
Translation by Marcelo Pérez M.
Santiago de Chile
Fe de Ratas Libros, 2020: 7-21.
See this note made by the online Chilean news "El Mostrador".