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Singular riemannian foliations

• Cohomological tautness for singular riemannian foliations
  Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales 143(2019), 4263-428.
  (With J. I. Royo Prieto et R. Wolak). Arxiv

• Poincaré Duality of the basic intersection cohomology of a Killing foliation.
  Monatsh Math 180(2016) 145-166
  (With R. Wolak). Arxiv

• Finitness of the basic intersection cohomology of a Killing foliation.
  Mathematische Zeitschrift 272 (2012), 443-457
  (With R. Wolak) Arxiv

• Cohomological tautness for Riemannian foliations.
  Russ. Journal of Math. Physics 16(2009), 450-46.
  (With J. I. Royo Prieto et R. Wolak). Arxiv

• Tautness for riemannian foliations on non-compact manifolds.
  Manuscripta Math. 126(2008), 177-200
  (With J. I. Royo Prieto and R. Wolak). Arxiv

• Top dimensional group of the basic intersection cohomology for singular riemannian foliations.
  Bull. Polish Ac Sc. 53(2005), 429-440.
  (With J. I. Royo Prieto and R. Wolak). Arxiv

• The BIC of a singular foliation defined by an abelian group of isometries.
  Ann. Polon. Math. 89 (2006), 203-246
  (With R. Wolak). Arxiv

• The BIC of a conical foliations.
  Mat. Zametki 77(2005), 235--257.
  Translation in Math. Notes 77(2005). 213-231
  (With R. Wolak). Arxiv

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Compact Lie group actions

• Equivariant intersection cohomology of the circle actions.
  Real Academia de Ciencias Exactas, Físicas y Naturales 108(2014), 49-62.
  (With J.I. Royo Prieto). Arxiv

• The Gysin sequence for S³-actions on manifolds.
  Publicationes Mathematicae Debrecen 3(2013), 275?89.
  (With J.I. Royo Prieto). Arxiv

• Intersection cohomology of circle actions.
  Topology and its Applications 254(2007), 2764-2770.
  (With G. Padilla). Arxiv

• Minimal models for non-free circle actions.
  Illinois J. Math. 44(2000), 784-820.
  (With A. Roig).

• Cohomologie d'intersection des actions toriques simples.
  Indagationes Math. 7(1996), 389-417.

• Gysin sequences.
  Analysis and geometry in foliated manifolds
  Santiago de Compostela, 1994, 207-222..

• A Gysin sequence for semifree actions of S³.
  Proceedings of the A.M.S. 118(1993), 1335-1345.

• Intersection cohomology of S¹-actions.
  (With G. Hector).
  Transactions of the A.M.S. 338(1993), 263-288.

• The Euler class for flows of isometries.
  Research Notes in Math. 131(1985), 220-227.

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Others

• Euler y un balón de fútbol.
  SIGMA, Servicio Central de Publicaciones del Gobierno Vasco 36(2011), 125-135.
  (With J.I. Royo Prieto).

• A six dimensional compact symplectic solvmanifold without KŠhler structures.
  Osaka J. Math. 33 (1996), 19-35.
  (With M. Fern‡ndez and M. de León).

• Cosymplectic reduction for singular momentum maps-actions.
  J. Phys.A Math. Gen. 26(1993) 5032-55043.
  (With M. de León).

• Fuzzy filters.
  Journal of Math. Anal. and App. 129 (1988), 560-566.
  (With M. A. de Prada).

• Una nota sobre convergencia en espacios toplógicos fuzzy.
  Actas IX Jornadas Hispano-Lusas vol. II (1982), 763-766.
  (With M. A. de Prada).

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Slides

• Dos cohomologías de intersección y una conjetura de Goresky y Pardon
  Seminario Topología Algebraica. Universidad Nacional Autónoma de México. México. August 2019. Slides      Video
  In collaboration with D. Chataur & D. Tanré.

• Intersection cohomologies
  MPS Conference on Singularities: Geometric, Topological, and Analytic Aspects
  Simons Foundation, New York (EEUU). August 2018. Slides      Video
  In collaboration with D. Chataur & D. Tanré.

• Filtered (co)-intersection Poincaré duality.
  Workshop on Stratified Spaces: Perspectives from Analysis, Geometry and Topology
  Fields Institute, Toronto (Canada). August 2016. Slides      Video
  In collaboration with D. Chataur & D. Tanré.

• Gysin sequence for smooth S^3-actions
  Knots, Manifolds, and Group Actions.
  Slubice (Poland). Septembre, 2013. Slides
  In collaboration with J.I. Royo Prieto.

• The basic intersection cohomology of a singular riemannian foliation.
  XVIII Encuentro de Topología
  Sevilla (Spain). Octobre 2011. Slides
  In collaboration with R. Wolak.

• Sobre la Conjetura de Poincaré
  Paseo en la geometría
  Bilbao (Spain). April 2008. Slides

• Minimality and singular riemannian foliations.
  Primer Congreso Hispano-Francés de Matem‡áticas - Premier Congrès Franco-Espagnol de Mathématiques
  Zaragoza (Spain). July 2007. Slides
  In collaboration with J.I. Royo Prieto & R. Wolak.

• The basic intersection cohomology of a singular riemannian foliation
  6th Conference on Geometry and Topology
  Krynica (Poland). Mai 2004. Slides
  In collaboration with R. Wolak.

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Errare humanum est, perseverare diabolicum

• Homological properties of stratified spaces.
  There is an an unforgivable oblivion in the statement of Proposition 2.2.5: the perversity p must lie between the 0 perversity and the top perversity. So, one of the two main results of the paper (Theorem 4.15) also needs this hypothesis. Notice that the usual Goresky-MacPherson perversities satisfy this condition.
  This error is corrected in De Rham intersection cohomology for general perversities, where tame intersection homology appears for the first time in a hidden way (see Blown-up intersection cohomology for an explict definition of this homology).

• Blown-up intersection cohomology
  There is a gap in the proof of Theorem E (b) (pag. 91): we should have proved that H(ω) is a p-allowable cochain in order to get that H(ω) is an integrating cochain of ω. But this is not true, we need another integrating cochain of ω. This is done here, where the corrections are in red..