nLab Vladimir Hinich

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Selected writings

On model category structures on algebras over operads in chain complexes (and introducing the model structure on unbounded chain complexes):

• Vladimir Hinich, Homological algebra of homotopy algebras, Communications in Algebra 25 10 (1997) 3291-3323 [arXiv:q-alg/9702015, doi:10.1080/00927879708826055, Erratum: arXiv:math/0309453]

The model structure on dg-coalgebras (in characteristic zero) as a model structure for $L_\infty$-algebras and the Quillen equivalence between dg-Lie algebras as well as the interpretation in terms of formal $\infty$-stacks ($L_\infty$-algebras):

• Vladimir Hinich, DG coalgebras as formal stacks, Journal of Pure and Applied Algebra 162 2 (2001) 209-250 [arXiv:9812034, doi:10.1016/S0022-4049(00)00121-3]

On the enriched Yoneda lemma:

• Vladimir Hinich, Enriched Yoneda lemma, Theory and Applications of Categories 31 29 (2016) 833-838 [tac:31-29, pdf]

On (Lie algebra-)weight systems on chord diagrams:

• Vladimir Hinich, Arkady Vaintrob, Cyclic operads and algebra of chord diagrams, Sel. math., New ser. (2002) 8: 237 (arXiv:math/0005197)

On homotopy limits of homotopy algebras and introducing the notion of the dg-nerve:

• Vladimir Hinich, Vadim Schechtman, On homotopy limit of homotopy algebras, in: K-Theory, Arithmetic and Geometry – Seminar, Moscow University, 1984–1986, Lecture Notes in Mathematics 1289, Spinger (2006) 240–264 [doi:10.1007/BFb0078363]

On $\infty$-colimits and Day convolution in the context of enriched $\infty$-categories:

• Vladimir Hinich, Colimits in enriched ∞-categories and Day convolution, Theory and Applications of Categories 39 12 (2023) 365-422 [tac:39-12, arXiv:2101.09538]

category: people