nLab José M. Moreno-Fernández

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Selected writings

On Whitehead $L_\infty$-algebras in rational homotopy theory:

• Francisco Belchí, Urtzi Buijs, José M. Moreno-Fernández, Aniceto Murillo, Higher order Whitehead products and $L_\infty$ structures on the homology of a DGL, Linear Algebra and its Applications, 520 (2017) 16-31 [arXiv:1604.01478, doi:10.1016/j.laa.2017.01.008]

On $A_\infty$-algebra-structure and Massey products:

• Urtzi Buijs, José Manuel Moreno-Fernández, Aniceto Murillo: A-infinity structures and Massey products, Mediterr. J. Math. 17 31 (2020) [arXiv:1801.03408, doi:10.1007/s00009-019-1464-1]

Lifting of the theorem Milnor & Moore, 1965 (Appendix), equipping the rational Pontrjagin algebra of a loop space with $A_\infty$-algebra structure and identifying it with the universal envelope of the Whitehead $L_\infty$-algebra:

• José M. Moreno-Fernández, The Milnor-Moore theorem for $L_\infty$-algebras in rational homotopy theory, Mathematische Zeitschrift 300 (2022) 2147–2165 [arXiv:1904.12530, doi:10.1007/s00209-021-02838-z]

On model structures on equivariant dgc-algebras:

• José M. Moreno-Fernández, Bruno Stonek: Algebraic models for equivariant rational homotopy theory for discrete groups [arXiv:2601.17345]

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