Publications/Preprints

In progress:

- "Poisson manifolds of compact type", with R.L. Fernandes and D.M. Torres.


Preprints:

- "On slice theorems for proper Lie groupoids", preprint 2011.


- "A Normal Form Theorem around Symplectic Leaves", with Ioan Marcut, preprint 2010.


- "Representations up to homotopy of groupoids and the Bott spectral sequence", with C.A. Abad, preprint 2008


- "On the perturbation lemma, and deformations", preprint 2004 , revised in 2008


Papers:

- "Representations up to homotopy of Lie algebroids", Journal für die reine und angewandte Mathematik (Crelles Journal), 2012.


- "On the existence of symplectic realizations", with Ioan Marcut, Journal of Symplectic Geometry, 2012.


- "A geometric approach to Conn's linearization", with R.L. Fernandes, Annals of Mathematics 173 (2011), 1119-1137.


- "Generalized complex structures and Lie brackets", Proceedings of Poisson 2010, Bulletin of the Brazilian Mathematical Society, New Series, December 2011, Volume 42, Issue 4, pp 559-578.


- "Tensor products of representations up to homotopy", with C.A. Abad and B. Dherin, Journal of Homotopy and Related Structures, Vol. 6(2011), No. 2, pp. 239-288.


- "The Weil algebra and Van Est isomorphisms", with C.A. Abad, Annales de L'Institut Fourier 61 no. 3 (2011), p. 927-970.


- "Lectures on Integrability of Lie Brackets", with R.L. Fernandes, Lecture notes for the 2005 Summer School in Poisson Geometry ICTP-Trieste, published in Geometry & Topology Monographs 17 (2011) 1–107.


- "Stability of symplectic leaves", with R.L. Fernandes, Inventiones Math. 180 (2010), pp. 481.


- "Dirac geometry, quasi-Poisson actions and D/G-valued moment maps", with H. Bursztyn, J. Differential Geom. 82 (2009), pp. 501-566.


- "Deformations of Lie brackets: cohomological aspects", with I. Moerdijk, Journal of the EMS, 10 (2008), pp. 1037- 1059


- "Integrability of Jacobi and Poisson structures", with C. Zhu, Ann. Inst. Fourier, 57 (2007), no. 4, 1181--1216.


- "Rigidity and flexibility in Poisson geometry", with R.L. Fernandes, Trav. Math., XVI (2005), pp. 53-68.


- "Quasi-Poisson structures as Dirac structures", with H. Bursztyn and P. Severa, Trav. Math., XVI (2005), 41--52.


- "Exotic characteristic classes of Lie algebroids", with R.L. Fernandes, Quantum field theory and noncommutative geometry, Lecture Notes in Phys., (2005), 41--52.


- "Dirac structures, moment maps and quasi-Poisson manifolds", with H. Bursztyn The breadth of symplectic and Poisson geometry, 1--40, Progr. Math., 232, Birkhäuser, 2005


- "Prequantization and Lie brackets", J. Symplectic Geom., 2 (2004), no. 4, 579--602.


- "Integration of twisted Dirac brackets", with H. Bursztyn, A. Weinstein, and C.Zhu, Duke Math. J., 123 (2004), no. 3, 549--607.


- "Integrability of Poisson manifolds",( abstract) J. Differential Geom., 66 (2004), no. 1, 71--137.


- "Cech-DeRham theory for leaf spaces of foliations", with Ieke Moerdijk, Math. Ann. 328 (2004), 59-85,


- "Integrability of Lie brackets",( abstract) with R.L. Fernandes, Annals of Mathematics 157, (2003) 575-620.


- "Differentiable and algebroid cohomology, van Est isomorphisms, and characteristic classes, ( abstract) Commentarii Mathematici Helvetici 78 (2003), 681-721.


- "Foliation groupoids and their cyclic homology", ( abstract) with Ieke Moerdijk, Advances of Mathematics 157 (2001)


- "Cyclic cohomology of Hopf algebras" , ( abstract) (January- July 1999), Journal of Pure and Applied Algebra (2001)


- "A Homology Theory for Etale Groupoids", ( abstract) with Ieke Moerdijk, Crelle's J. Reine Angew. Math. 521 (2000)


- "Connections up to homotopy and characteristic classes", ( abstract) preprint, October 2000


- "Chern characters via connections up to homotopy", ( abstract) preprint, September 2000


- "Cyclic Cohomology of Etale Groupoids; The General Case", ( abstract) K-Theory 17 (1999)


- "On two-primary algebraic K-theory of quadratic number rings with focus on K_2", ( abstract) with Paul Arne Ostvaer, Acta Arith. 87 (1999)


- "A note on the denseness of complete invariant metrics", ( abstract available only) with C. Varga, Publ. Math. Debrecen 51 (1997)


Other Papers (on interpolation)

- "Birkhoff interpolation with rectangular sets of nodes", with N. Crainic, preprint, 2002


- "Birkhoff interpolation with rectang. sets of nodes and with few deriv.", with N.Crainic, East Journal on Approximations, 14 no 4 (2008), pp. 423-437.


- "Polya conditions for multivariate Birkhoff interpolation: from general to rectangular sets of nodes", with N.Crainic, Acta Mathematica Universitatis Comenianae, 79 (2010), pp. 9-18.

- "Normal bivariate Birkhoff interp. schemes and Pell's equation", with N.Crainic, Commentationes Mathematicae Universitatis Carolinae, 50 (2009) 265-272.

PhD Thesis: go