nLab Manuel Rivera

Selected writings

Selected writings

Identifying the cobar construction on singular chains on a topological space with the dg-algebra of chains on its loop space:

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

See also:

  • M. Rivera, and S. Saneblidze, A combinatorial model for the free loop space fibration, Bull. London Math. Soc. (2018) doi:10.1112/blms.12202, arXiv:1712.02644

  • M. Rivera, F. Wierstra, M. Zeinalian, The functor of singular chains detects weak homotopy equivalences, Proc. Amer. Math. Soc. (2019) arXiv:1808.10237

  • M. Rivera and Z. Wang, Singular Hochschild cohomology and algebraic string operations, J. Noncommut. Geom. 13 (2019), 297-361.arXiv:1703.03899

On rational homotopy theory for possibly non-nilpotent spaces via deck-Borel-equivariant rational homotopy theory:

Relating the Dwyer-Kan loop groupoid-construction to the homotopy coherent nerve-construction:

category: people

Last revised on April 26, 2023 at 05:43:17. See the history of this page for a list of all contributions to it.