31 citations · 111 across the 18 of their papers we have counts for
25 papers
Simplicial intersection homology revisited
David Chataur, Martin Saralegi-Aranguren, Daniel Tanré
Intersection homology is defined for simplicial, singular and PL chains and it is well known that the three versions are isomorphic for a full filtered simplicial complex. In the l…
Realization of Lie algebras and classifying spaces of crossed modules
Yves Félix, Daniel Tanré
The category of complete differential graded Lie algebras provides nice algebraic models for the rational homotopy types of non-simply connected spaces. In particular, there is a r…
Natural operations in Intersection Cohomology
David Chataur, Daniel Tanré
Eilenberg-MacLane spaces, that classify the singular cohomology groups of topological spaces, admit natural constructions in the framework of simplicial sets. The existence of simi…
Non-linear Morse-Bott functions on quaternionic Stiefel manifolds
Enrique Macías-Virgós, María José Pereira-Sáez, Daniel Tanré
In the Stiefel manifold , we replace Frankel linear height function by a quadratic one. We prove this is still a Morse-Bott function, whose structure of critical levels pr…
Spatial realization of a Lie algebra and Bar construction of a group
Yves Félix, Daniel Tanré
We prove that the spatial realization of a rational complete Lie algebra , concentrated in degree 0, is isomorphic to the simplicial bar construction on the group, obtained from…
Relative singular value decomposition and applications to LS-category
E. Macías-Virgós, M. J. Pereira-Sáez, Daniel Tanré
Let be the symplectic group of quaternionic -matrices. For any , an element of can be decomposed in $A= \begin{bmatrix} α&T\cr β&P \…