Research

Most of my research papers can also be found in the ArXiv and Google Scholar. Below is a complete list of papers produced up to June 2025.

Pre-prints

• T-duality for transgressive fibrations. Gil R. Cavalcanti. ArXiv 2503.20143. 2025. Submitted

• Topological Spherical T-duality -- Dimension change from higher degree H-flux. Gil R. Cavalcanti, Bart Heemskerk, Bernardo Uribe.  ArXiv 2405.14054. 2024. Submitted.

• Non-principal T-duality, generalized complex geometry and blow-ups. Gil R. Cavalcanti, Aldo Witte. ArXiv 2211.17173. 2022. Submitted.

• A remark on the number of components of the space of generalized complex structures. Gil R. Cavalcanti. ArXiv:1310.4870. 2013.

Published and to appear

• Flat Generalized Connections on Courant Algebroids. Gil R. Cavalcanti, Jaime Pedregal, Roberto Rubio. To appear in Selecta Math. ArXiv 2503.21881, 2025.

• A neighbourhood theorem for submanifolds in generalized complex geometry. Michael Bailey, Gil R. Cavalcanti, Joey van der Leer Duran. To appear in J. Eur. Math. Soc. (JEMS). ArXiv 1906.12069. 2019.

• On the Equivalence of Generalized Ricci Curvatures. Gil R. Cavalcanti, Jaime Pedregal, Roberto Rubio. Proc. Amer. Math. Soc. 153 (2025).

• Poisson structures with compact support. Gil R. Cavalcanti, Ioan Marcut. Int. Math. Res. Not. (2024).

• Fibrations in semitoric and generalized complex geometry. Cavalcanti, Gil R.; Klaasse, Ralph L.; Witte, Aldo. Canad. J. Math. 75 (2023).

• Self-crossing stable generalized complex structures. Cavalcanti, Gil R.; Klaasse, Ralph L.; Witte, Aldo. J. Symplectic Geom. 20 (2022).

• Hodge theory of SKT manifolds. Cavalcanti, Gil R. Adv. Math. 374 (2020) / Hodge theory of SKT manifolds (ArXiv version). Cavalcanti, Gil R.  ArXiv 1203.0493. A more complete version of the paper, 2012.

• Fibrations and log-symplectic structures. Cavalcanti, Gil R.; Klaasse, Ralph L. J. Symplectic Geom. 17 (2019).

• Blow-ups in generalized complex geometry. Bailey, M. A.; Cavalcanti, G. R.; van der Leer Durán, J. L. Trans. Amer. Math. Soc. 371 (2019).

• Classification of boundary Lefschetz fibrations over the disc. Behrens, Stefan; Cavalcanti, Gil R.; Klaasse, Ralph L. Geometry and physics. Vol. II, 399–418. Oxford University Press, Oxford, 2018.

• Fibrations and stable generalized complex structures. Cavalcanti, Gil R.; Klaasse, Ralph L. Proc. Lond. Math. Soc. 117 (2018).

• Stable generalized complex structures. Cavalcanti, Gil R.; Gualtieri, Marco. Proc. Lond. Math. Soc. 116 (2018) / Stable generalized complex structures (ArXiv version). Cavalcanti, Gil R.; Gualtieri, Marco. A more complete version of the paper, 2015.

• Type one generalized Calabi-Yaus. Bailey, Michael; Cavalcanti, Gil R.; Gualtieri, Marco. J. Geom. Phys. 120 (2017).

• Examples and counter-examples of log-symplectic manifolds. Cavalcanti, Gil R. J. Topol. 10 (2017).

• Generalized Kähler geometry of instanton moduli spaces. Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco. Comm. Math. Phys. 333 (2015).

• Goto's generalized Kähler stability theorem. Cavalcanti, Gil R. Indag. Math. (N.S.) 25 (2014).

• Blowing up generalized Kähler 4-manifolds. Cavalcanti, Gil R.; Gualtieri, Marco. Bull. Braz. Math. Soc. (N.S.) 42 (2011).

• Generalized complex geometry and T-duality. Cavalcanti, Gil R.; Gualtieri, Marco. A celebration of the mathematical legacy of Raoul Bott, 341–365. CRM Proc. Lecture Notes, 50 (2010).

• Computations of generalized Dolbeault cohomology. Cavalcanti, Gil R. Special metrics and supersymmetry, 57–69. AIP Conf. Proc., 1093 (2009).

• Blow-up of generalized complex 4-manifolds. Cavalcanti, Gil R.; Gualtieri, Marco. J. Topol. 2 (2009).

• On Non‐Formality of a Simply‐Connected Symplectic 8‐Manifold. Gil R. Cavalcanti;  Marisa Fernández;  Vicente Muñoz. 82–91, AIP Conf. Proc., 1023, (2008).

• Symplectic resolutions, Lefschetz property and formality. Cavalcanti, Gil R.; Fernández, Marisa; Muñoz, Vicente. Adv. Math. 218 (2008).

• Generalized Kähler and hyper-Kähler quotients. Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco. Poisson geometry in mathematics and physics, 61–77. Contemp. Math., 450 (2008).

• Introduction to generalized complex geometry. Cavalcanti, Gil R. Publ. Mat. IMPA, 26th Brazilian Mathematics Colloquium. Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2007.

• Reduction of Courant algebroids and generalized complex structures. Bursztyn, Henrique; Cavalcanti, Gil R.; Gualtieri, Marco. Adv. Math. 211 (2007).

• A surgery for generalized complex structures on 4-manifolds. Cavalcanti, Gil R.; Gualtieri, Marco. J. Differential Geom. 76 (2007).

• Formality in generalized Kähler geometry. Cavalcanti, Gil R. Topology Appl. 154 (2007).

• The Lefschetz property, formality and blowing up in symplectic geometry. Cavalcanti, Gil R. Trans. Amer. Math. Soc. 359 (2007).

• Reduction of metric structures on Courant algebroids. Cavalcanti, Gil R. J. Symplectic Geom. 4 (2006).

• The decomposition of forms and cohomology of generalized complex manifolds. Cavalcanti, Gil R. J. Geom. Phys. 57 (2006).

• Formality of  k -connected spaces in  4k+3  and  4k+4  dimensions. Cavalcanti, Gil Ramos. Math. Proc. Cambridge Philos. Soc. 141 (2006).

• Generalized complex structures on nilmanifolds. Cavalcanti, Gil R.; Gualtieri, Marco. J. Symplectic Geom. 2 (2004).

• New aspects of the ddc-lemma. Cavalcanti, Gil R. ArXiv:math/0501406. D.Phil. Thesis, Oxford, 2005.