Topic

Approximately holomorphic techniques

Presas, F., Submanifolds in symplectic manifolds with contact border.

D. Martínez-Torres, A. del Pino, F. Presas, Transverse geometry of foliations calibrated by non-degenerate closed 2-forms, Nagoya Mathematical Journal. 231 September 2018 , 115--127.

Presas, Francisco. Geometric decompositions of almost contact manifolds. Contact and symplectic topology, 137--172, Bolyai Soc. Math. Stud., 26, János Bolyai Math. Soc., Budapest, 2014.

Auroux, Denis ; Muñoz, Vicente; Presas, Francisco. Lagrangian submanifolds and Lefschetz pencils. J. Symplectic Geom. 3 (2005), no. 2, 171--219.

Calvo, Omegar ; Muñoz, Vicente; Presas, Francisco . Codimension one symplectic foliations. Rev. Mat. Iberoamericana 21 (2005), no. 1, 25--46.

Amorós, Jaume ; Muñoz, Vicente; Presas, Francisco. Generic behavior of asymptotically holomorphic Lefschetz pencils. J. Symplectic Geom. 2 (2004), no. 3, 377--392.

Martínez, David ; Muñoz, Vicente; Presas, Francisco. Open book decompositions for almost contact manifolds. Proceedings of the XI Fall Workshop on Geometry and Physics, 131--149, Publ. R. Soc. Mat. Esp., 6, R. Soc. Mat. Esp., Madrid, 2004.

Presas, F. Lefschetz type pencils on contact manifolds. Asian J. Math. 6 (2002), no. 2, 277--301.

Muñoz, V.; Presas, F. ; Sols, I. Almost holomorphic embeddings in Grassmannians with applications to singular symplectic submanifolds. J. Reine Angew. Math. 547 (2002), 149--189.

Ibort, A.; Martínez-Torres, D.; Presas, F. Uniform asymptotic polynomial approximations to constants of the motion. Proceedings of the VIII Fall Workshop on Geometry and Physics (Spanish) (Medina del Campo, 1999), 127--133, Publ. R. Soc. Mat. Esp., 2, R. Soc. Mat. Esp., Madrid, 2001.

Muñoz, Vicente; Martínez-Torres, D. Presas, F. Asymptotically holomorphic embeddings of contact manifolds in projective spaces. Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao, 2000), 386--390, Contemp. Math., 288, Amer. Math. Soc., Providence, RI, 2001. pdf

Ibort, A. ; Martínez-Torres, D. ; Presas, F. On the construction of contact submanifolds with prescribed topology. J. Differential Geom. 56 (2000), no. 2, 235--283.

High dimensional contact topology

L. Hernández-Corbato, L. Martín-Merchán, F. Presas, Tight neighborhoods of contact submanifolds.

R. Casals, E. Murphy, F. Presas, Geometric criteria for overtwistedness, J. Amer. Math. Soc. 32 (2019), no. 2, 563--604.

Casals, R., Pancholi, D., Presas, F., Contact blow-up, Expo. Math. 33 (2015), no. 1,78--100.

Casals, R., Pancholi, D., Presas, F., Almost contact 5-manifolds are contact. Annals of Mathematics, vol. 182, n. 2 (2015) 429-490.

Niederkrüger, Klaus; Presas, Francisco. Some remarks on the size of tubular neighborhoods in contact topology and fillability. Geom. Topol. 14 (2010), no. 2, 719--754.

Presas, Francisco. A class of non-fillable contact structures. Geom. Topol. 11 (2007), 2203--2225.

Foliated Symplectic Topology

A. del Pino, F. Presas, The foliated Weinstein conjecture, to appear in Int Math Res Notices. https://doi.org/10.1093/imrn/rnx059

D. Peralta-Salas, A. del Pino, F. Presas, Foliated vector fields without periodic orbits, Isr. J. Math. 214, No. 1, 443-462 (2016).

D. Martínez-Torres, A. del Pino, F. Presas, Transverse geometry of foliations calibrated by non-degenerate closed 2-forms, Nagoya Mathematical Journal. 231 September 2018 , 115--127.

Casals, R., del Pino, A., Presas, F., h-Principle for Contact Foliations, Int Math Res Notices (2015) Vol. 2015 10176-10207.

Algebraic geometry

Presas, Francisco; Solá Conde, Luis E. Holomorphic Engel structures. Rev. Mat. Complut. 27 (2014), no. 1, 327--344.

Muñoz, Vicente; Presas, Francisco. Semipositive bundles and Brill-Noether theory. Bull. London Math. Soc. 35 (2003), no. 2, 179--190.

Gómez, Tomás L.; Presas, Francisco, Affine representations of the fundamental group. Forum Math. 13(2001), no. 3, 399–411.

Engel topology

V. Colin, F. Presas, T. Vogel, Notes on open book decompositions for Engel structures.

R. Casals, A. del Pino, F. Presas, Loose Engel structures, to appear in Compositio Mathematica.

E. Fernández, J. Martínez-Aguinaga, F. Presas, Fundamental groups of formal Legendrian and horizontal embedding spaces

A. del Pino, F. Presas, Flexibility for horizontal and transverse immersions in Engel manifolds.

Presas, F., Non-integrable distributions and the h-principle. Eur. Math. Soc. Newsl. 99, 18--26 (2016).

R. Casals, J. L. Pérez, A. del Pino, F. Presas, Existence h-principle for Engel structures, Invent. Math. 210 (2017), no. 2, 417-451.

Contactomorphisms group

E. Fernández, J. Martínez-Aguinaga, F. Presas, The homotopy type of the contactomorhism groups of tight contact $3$-amnifolds, Part I

D. Pancholi, J. L. Pérez, F. Presas, A simple construction of positive loops of Legendrians

Casals, R., Presas, F., On the strong orderability of overtwisted 3-folds, Comment. Math. Helv. 91, No. 2, 305-316 (2016).

Casals, R., Ginzburg, V., Presas, F., Higher Maslov indices, Journal of Geometry and Physics (2016). Volume 115, May 2017, Pages 167--177. doi:10.1016/j.geomphys.2016.03.021

Casals, R., Presas, F., Sandon, S., On the non-existence of small positive loops of contactomorphisms on overtwisted contact manifolds. J. Symplectic Geom. 14 (2016), no.4, 1013--1031.

Casals, R, Presas, F., A Remark on the Reeb flow for spheres, Journal of Symplectic Geometry (2014) Volume 12, Number 4, 657--671.

General symplectic geometry

E. Miranda, F. Presas, R. Solha, Geometric quantization of semitoric systems and almost toric manifolds

Miranda, E., Presas, F., Geometric Quantization of real polarizations via sheaves, J. Symplectic Geom. 13 (2015), no.2, 421--462.

Casals, R., del Pino, A., Presas, F., h-Principle for Contact Foliations, International Mathematics Research Notices 2015; doi: 10.1093/imrn/rnu275, 32 pages

Muñoz, Vicente; Presas, Francisco . Geometric structures on loop and path spaces. Proc. Indian Acad. Sci. Math. Sci. 120 (2010), no. 4, 417--428.

Dynamical systems

L. Hernández-Corbato, F. Presas, The conjugation method in Symplectic Dynamics, to appear in Revista Matemática Iberoamericana

D. Peralta-Salas, A. del Pino, F. Presas, Foliated vector fields without periodic orbits, Isr. J. Math. 214, No. 1, 443-462 (2016).

Presas, F. Newton's methods from a geometric point of view. Extracta Math. 16 (2001), no. 1, 93--134.

My Ph. D.

Presas, F., Ph. D. Document, July 2000