nLab Camilo Arias Abad

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Selected writings

On $\infty$-local systems in the sense of $(\infty,1)$-vector bundles with flat $\infty$-connections:

• Camilo Arias Abad, Florian Schätz: The $A_\infty$ de Rham theorem and integration of representations up to homotopy, International Mathematics Research Notices, 2013 16 (2013) 3790–3855 [arXiv:1011.4693, doi:10.1093/imrn/rns166]

• Camilo Arias Abad, Florian Schätz: Flat $\mathbb{Z}$-graded connections and loop spaces, International Mathematics Research Notices 2018 4 (2018) 961–1008 [doi:10.1093/imrn/rnw258, arXiv:1510.04975]

On braid group representations:

• Camilo Arias Abad, Introduction to representations of braid groups, Rev. colomb. mat. vol.49 no.1 (2015) (arXiv:1404.0724, doi:10.15446/recolma.v49n1.54160)

On enhancing the Chern-Weil homomorphism from ordinary cohomology-groups to dg-categories of infinity-local systems:

• Camilo Arias Abad, Santiago Pineda Montoya, Alexander Quintero Velez, Chern-Weil theory for $\infty$-local systems $[$arXiv:2105.00461$]$

category: people