On higher Hochschild homology and factorization algebras:

- Grégory Ginot, Thomas Tradler, Mahmoud Zeinalian,
*Derived higher Hochschild homology, topological chiral homology and factorization algebras*(arxiv/1011.6483)

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

- Manuel Rivera, Mahmoud Zeinalian,
*Cubical rigidification, the cobar construction, and the based loop space*, Algebr. Geom. Topol.**18**(2018) 3789-3820 [arXiv:1612.04801, doi:10.2140/agt.2018.18.3789]

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

- Manuel Rivera, Mahmoud Zeinalian, §5 of:
*The colimit of an $\infty$-local system as a twisted tensor product*, Higher Structures**4**1 (2020) 33-56 [arXiv:1805.01264, higher-structures:Vol4Iss1]

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

- Manuel Rivera, Felix Wierstra, Mahmoud Zeinalian,
*Rational homotopy equivalences and singular chains*, Algebr. Geom. Topol.**21**(2021) 1535-1552 [arXiv:1906.03655. doi:10.2140/agt.2021.21.1535]

On a kind of BV-quantization of the Loday-Quillen-Tsygan theorem and relating to the large $N$-limit of Chern-Simons theory:

- Grégory Ginot, Owen Gwilliam, Alastair Hamilton, Mahmoud Zeinalian,
*Large $N$ phenomena and quantization of the Loday-Quillen-Tsygan theorem*, Adv. Math.**409A**(2022) 108631 [arXiv:2108.12109, doi:10.1016/j.aim.2022.108631]

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

- Emilio Minichiello, Manuel Rivera, Mahmoud Zeinalian, Def. 3.1 in:
*Categorical models for path spaces*, Advances in Mathematics**415**(2023) 108898 [arXiv:2201.03046, doi:10.1016/j.aim.2023.108898]

Weak homotopy equivalences among path connected pointed topological spaces can be detected by singular chain functor $C_*$, provided $C_*(X)$ is taken with the structure of a dg-coalgebra,

- Manuel Rivera, Felix Wierstra, Mahmoud Zeinalian,
*The functor of singular chains detects weak homotopy equivalences*, Proc. Amer. Math. Soc. 147 (2019) 4987–4998 MR4011530 doi arXiv/1807.06410

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Last revised on May 8, 2023 at 14:23:45. See the history of this page for a list of all contributions to it.