31 citations · 111 across the 18 of their papers we have counts for
24 papers · 1 filter
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…
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 \…
Variations on Poincaré duality for intersection homology
Martintxo Saralegi-Aranguren, Daniel Tanré
Intersection homology with coefficients in a field restores Poincaré duality for some spaces with singularities, as pseudomanifolds. But, with coefficients in a ring, the behaviour…