Publications
2020
Scholarly publications
2019
Scholarly publications
Bailey, M., Cavalcanti, G. R., & Duran, J. V. D. L. (2019).
Blow-ups in generalized complex geometry.
Transactions of the American Mathematical Society,
371, 2109-2131.
https://doi.org/10.1090/tran/7412 2018
Scholarly publications
Behrens, S., Cavalcanti, G. R., & Klaasse, R. L. (2018).
Classification of boundary Lefschetz fibrations over the disc. In
Geometry and Physics: A Festschrift in Honour of Nigel Hitchin (Vol. 2, pp. 399-418). Oxford University Press.
https://doi.org/10.1093/oso/9780198802020.003.0015 Cavalcanti, G. R., & Klaasse, R. L. (2018).
Fibrations and stable generalized complex structures.
Proceedings of the London Mathematical Society,
117(6), 1242-1280.
https://doi.org/10.1112/plms.12199 Cavalcanti, G. R., & Gualtieri, M. (2018).
Stable generalized complex structures.
Proceedings of the London Mathematical Society,
116(5), 1075-1111.
https://doi.org/10.1112/plms.12093 2017
Scholarly publications
2015
Scholarly publications
Bursztyn, H., Gualtieri, M.
, & Cavalcanti, G. R. (2015).
Generalized Kähler Geometry of Instanton Moduli Spaces.
Communications in Mathematical Physics,
333(2), 831-860.
https://doi.org/10.1007/s00220-014-2170-22014
Scholarly publications
2011
Scholarly publications
2010
Scholarly publications
Cavalcanti, G. R., & Gualtieri, M. (2010). Generalized complex geometry and T-duality. In P. R. Kotiuga (Ed.), A celebration of the mathematical legacy of Raoul Bott (pp. 341-365). American Mathematical Society.
2009
Scholarly publications
Cavalcanti, G. R. (2009).
Computations of generalized Dolbeault cohomology. In O. Garay, M. Fernández, L. C. Andrés, & L. Ugarte (Eds.),
AIP Conference Proceedings (Vol. 1093, pp. 57-69). (AIP Conference Proceedings; Vol. 1093).
https://doi.org/10.1063/1.3089208 Cavalcanti, G. R., & Gualtieri, M. (2009). Blow-up of generalized complex 4-manifolds. Journal of Topology, 2(4), 840-864.
2008
Scholarly publications
Cavalcanti, G. R., Fernández, M., & Muñoz, V. (2008).
On non-formality of a simply-connected symplectic 8-manifold. In
Geometry and Physics - XVI International Fall Workshop (pp. 82-92). (AIP Conference Proceedings; Vol. 1023).
https://doi.org/10.1063/1.2958181 Cavalcanti, G. R., Fernandez, M., & Munoz, V. (2008). Symplectic resolutions, Lefschetz property and formality. Advances in Mathematics, 218(2), 576-599.
Bursztyn, H., Cavalcanti, G. R., & Gualtieri, M. (2008). Generalized Kähler and hyper Kähler quotients. In G. Dito, J. H. Lu, Y. Maeda, & A. Weinstein (Eds.), Poisson Geometry in mathematics and physics (pp. 61-77). (Contemporary Mathematics; No. 450). American Mathematical Society.
2007
Scholarly publications
Cavalcanti, G. R., & Gualtieri, M. (2007).
A surgery for generalized complex structures on 4-manifolds.
Journal of Differential Geometry,
76(1), 35-43.
https://doi.org/10.4310/jdg/1180135665 Bursztyn, H., Cavalcanti, G. R., & Gualtieri, M. (2007). Reduction of Courant algebroids and generalized complex structures. Advances in Mathematics, 211(2), 726-765.
Cavalcanti, G. R., Fernandez, M., & Munoz, V. (2007). On nonformality of a simply-connected symplectic 8-manifold. In R. L. Fernandes, & R. Picken (Eds.), Geometry and Physics: XVI International Fall Workshop (pp. 82-92). Springer.
2006
Scholarly publications
Cavalcanti, G. R. (2006).
Formality of k-connected spaces in 4k + 3 and 4k + 4 dimensions.
Mathematical Proceedings of the Cambridge Philosophical Society,
141(1), 101-112.
https://doi.org/10.1017/S0305004106009340