Lucile Vandembroucq

Centro de Matemática
Universidade do Minho
Campus de Gualtar
4710-057 Braga
Portugal
email: lucile(AT)math(DOT)uminho(DOT)pt

Research interests

My research area is Algebraic Topology. My interests mainly focus on the Lusternik-Schnirelmann category, on Farber's Topological Complexity and on algebraic models of topological constructions in the framework of rational homotopy theory.

Publications

J.M. Garcia Calcines, L. Vandembroucq, A Study of the Ganea Conjecture for Topological Complexity by Using Weak Topological Complexity, to appear in Mathematical Proceedings of the Cambridge Philosophical Society.

S. Hamoun, Y. Rami, L. Vandembroucq, An upper bound for the rational topological complexity of a family of elliptic spaces, to appear in Proceedings of AMS.

L. Vandembroucq, Computing with the TC-canonical class, in ‘Topology and AI ’ (M. Farber and J. González, eds.), EMS Series in Industrial and Applied Mathematics 4, EMS Press, Berlin, 2024.

S. Hamoun, Y. Rami, L. Vandembroucq, On the rational topological complexity of coformal elliptic spaces, Journal of Pure and Applied Algebra. 227 (2023).

D. Cohen, L. Vandembroucq, On the topological complexity of manifolds with abelian fundamental group, Forum Math. 33 (2021), 1403---1421.

S. Fisekci, L. Vandembroucq, On the LS-category and topological complexity of projective product spaces, J. Homotopy Relat. Struct. 16 (2021), no. 4, 769---780.

D. Cohen, L. Vandembroucq, Motion planning in connected sums of real projective spaces, Topology Proceedings, 54 (2019), 323---334.

J. González, M. Grant, L. Vandembroucq, Hopf invariants for sectional category with applications to topological robotics, Quarterly J. of Math, 70(4) (2019), 1209---1252.

L. Vandembroucq, Topological complexity of surfaces, CIM Bulletin 41. 2019.

J.G. Carrasquel Vera, P.-E. Parent, L. Vandembroucq, Module sectional category of products, Journal of Homotopy and Related Structures, 13(3) (2018), 545--553.

L. Fernández, L. Vandembroucq, Q-topological complexity, in ‘Topological Complexity and Related Topics’ (M. Grant, G. Lupton and L. Vandembroucq, eds), Contemp. Math. 702 (2018), 103---120.

J. González, M. Grant, L. Vandembroucq, Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes, in ‘Topological Complexity and Related Topics’ (M. Grant, G. Lupton and L. Vandembroucq, eds), Contemp. Math. 702 (2018), 133---150.

D. Cohen, L. Vandembroucq, Topological complexity of the Klein bottle, Journal of Applied and Computational Topology, 1 (2017) 199-213.

J.G. Carrasquel Vera, T. Kahl, L. Vandembroucq, Rational approximations of sectional category and Poincare duality, Proceedings of the AMS, 144 (2016), 909-915.

J.G. Carrasquel Vera, J.M. Garcia Calcines, L. Vandembroucq, Relative category and monoidal topological complexity , Topology and its applications 171 , (2014), pp. 41-53.

J.M. Garcia Calcines, L. Vandembroucq, Topological Complexity and the homotopy cofibre of the diagonal map, Math. Z. 274 (2013), pp. 145-165.

J.M. Garcia Calcines, L. Vandembroucq, Weak Sectional Category, Journal of the London Mathematical Society 82(3) (2010), 621-642.

T. Kahl, H. Scheerer, D. Tanré, L. Vandembroucq, Simplicial Resolutions and Ganea fibrations, Journal of Homotopy and Related Structures 3(1) (2008), 309-330.

T. Kahl, P. Lambrechts, L. Vandembroucq, Bords homotopiques et modèles de Quillen, Homology, Homotopy and Applications 8 (2006), 1-28.

L. Fernández Suárez, P. Ghienne, T. Kahl, L. Vandembroucq, Joins of DGA modules and sectional category, Algebraic & Geometric Topology 6 (2006), 119-144.

P.-M. Moyaux and L. Vandembroucq, Lagrangian intersections, critical points, and Q-category, Math. Z. 246 (2004), 85-103.

L. Vandembroucq, Lusternik-Schnirelmann category and fibrewise suspension, Topology 41 (2002), 1239-1258.

T. Kahl and L. Vandembroucq, Gaps in the Milnor-Moore spectral sequence, Bull. Belg. Math. Soc. 9 (2002), 265-277.

P. Lambrechts, D. Stanley, and L. Vandembroucq, Embeddings up to homotopy of two-cones into euclidean space, Trans. A.M.S. 354(10) (2002), 3973-4013.

L. Vandembroucq, Suspension of Ganea fibrations and a Hopf invariant, Topology and its applications 105 (2000), 187-200.

L. Vandembroucq, Sur le transfert de Becker et Gottlieb, Bull. Belg. Math. Soc. 6 (1999), 605-614.