Identifying the cobar construction on singular chains on a topological space with the dg-algebra of chains on its loop space:
On -local systems in the sense of -vector bundles with flat -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:
Last revised on September 28, 2022 at 17:44:19. See the history of this page for a list of all contributions to it.