nLab Yves Félix

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Selected writings

On rational homotopy theory:

• Yves Félix, Stephen Halperin, Jean-Claude Thomas, Rational Homotopy Theory, Graduate Texts in Mathematics, 205, Springer-Verlag, 2000 (doi:10.1007/978-1-4613-0105-9)

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

• Yves Félix, Steve Halperin, Rational homotopy theory via Sullivan models: a survey, Notices of the International Congress of Chinese Mathematicians Volume 5 (2017) Number 2 (arXiv:1708.05245, doi:10.4310/ICCM.2017.v5.n2.a3)

On rational homotopy theory with general fundamental groups:

• 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)

• Yves Félix, Steve Halperin, Jean-Claude Thomas, Rational Homotopy Theory II, World Scientific 2015 (doi:10.1142/9473)

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 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 of mapping spaces:

• Urtzi Buijs, Yves Félix, Aniceto Murillo, $L_\infty$-rational homotopy of mapping spaces, published as $L_\infty$-models of based mapping spaces, J. Math. Soc. Japan Volume 63, Number 2 (2011), 503-524 (arXiv:1209.4756, doi:10.2969/jmsj/06320503)

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 the cobar construction:

• Yves Felix, Stephen Halperin, Jean-Claude Thomas, Adams’ Cobar Equivalence, Transactions of the American Mathematical Society, Vol. 329, No. 2 (1992), pp. 531-549 (jstor:2153950)

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]

Related entries

• rational homotopy theory

• Sullivan model of free loop space

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