nLab Daniel Tanré

• Mathematics Genealogy page

Selected writings

On rational homotopy theory:

• Yves Félix, John Oprea, Daniel Tanré, Algebraic models in geometry, Oxford University Press 2008 (pdf, ISBN:9780199206520)

On rational homotopy theory of non-nilpotent spaces via deck-Borel-equivariant rational homotopy theory of their universal covering spaces:

• Antonio Gómez-Tato, Stephen Halperin, Daniel Tanré, Rational homotopy theory for non-simply connected spaces, Trans. Amer. Math. Soc. 352 (2000), 1493-1525 (doi:10.1090/S0002-9947-99-02463-0, jstor:118074)

• Urtzi Buijs, Yves Félix, Aniceto Murillo, Daniel Tanré, Homotopy theory of complete Lie algebras and Lie models of simplicial sets, Journal of Topology (2018) 799-825 (arXiv:1601.05331, doi:10.1112/topo.12073)

On the ordinary cohomology of configuration spaces of points:

• Yves Félix, Daniel Tanré, The cohomology algebra of unordered configuration spaces, Journal of the LMS, Vol 72, Issue 2 (arxiv:math/0311323, doi:10.1112/S0024610705006794)

On rational parametrized stable homotopy theory:

• Yves Félix, Aniceto Murillo Daniel Tanré, Fibrewise stable rational homotopy, Journal of Topology, Volume 3, Issue 4, 2010, Pages 743–758 (doi:10.1112/jtopol/jtq023)

On rational models for spherical fibrations and Thom spaces:

• Yves Félix, John Oprea, Daniel Tanré, Lie-model for Thom spaces of tangent bundles, Proc. Amer. Math. Soc. 144 (2016), 1829-1840 (pdf, doi:10.1090/proc/12829)

On the Quillen Lie model of rational homotopy theory:

• Urtzi Buijs, Yves Félix, Aniceto Murillo, Daniel Tanré, Lie Models in Topology, Progress in Mathematics 335, Springer (2020) [doi:10.1007/978-3-030-54430-0]

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