nLab Mahmoud Zeinalian

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Selected publications

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

category: people