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@article{AA_2021_33_6_a4,
author = {S. V. Lapin},
title = {Homotopy invariance of dihedral homology of involutive $A_\infty$-algebras},
journal = {Algebra i analiz},
pages = {78--106},
publisher = {mathdoc},
volume = {33},
number = {6},
year = {2021},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2021_33_6_a4/}
}
S. V. Lapin. Homotopy invariance of dihedral homology of involutive $A_\infty$-algebras. Algebra i analiz, Tome 33 (2021) no. 6, pp. 78-106. http://geodesic.mathdoc.fr/item/AA_2021_33_6_a4/
[1] Lapin S. V., “Diedralnye moduli s $\infty$-simplitsialnymi granyami i diedralnye gomologii involyutivnykh $A_\infty$-algebr nad koltsami”, Algebra i analiz, 33:3 (2021), 85–110
[2] Lapin S. V., “Gomotopicheskie simplitsialnye grani i gomologii realizatsii simplitsialnykh topologicheskikh prostranstv”, Mat. zametki, 94:5 (2013), 661–681
[3] Lapin S. V., “Differentsialnye vozmuscheniya i $D_\infty$-differentsialnye moduli”, Mat. sb., 192:11 (2001), 55–76
[4] Krasauskas R. L., Lapin S. V., Solovev Yu. P., “Diedralnye gomologii i kogomologii. Osnovnye ponyatiya i konstruktsii”, Mat. sb., 133:1 (1987), 25–48
[5] Tsygan B. L., “O gomologiyakh nekotorykh matrichnykh superalgebr Li”, Funkts. anal. i ego pril., 20:2 (1986), 90–91
[6] Braun C., Involutive $A_\infty$-algebras and dihedral cohomology, 12 Sep 2013, arXiv: 1209.1261v4 [math.QA]
[7] Kadeishvili T. V., “K teorii gomologii rassloennykh prostranstv”, Uspekhi mat. nauk, 35:3 (1980), 183–188
[8] Krasauskas R. L., Solovev Yu. P., “Ratsionalnaya ermitova K-teoriya i diedralnye gomologii”, Izv. AN SSSR. Ser. mat., 52:5 (1988), 935–969
[9] Lapin S. V., “Differentsialnye moduli Li nad iskrivlennymi krashennymi koalgebrami i $\infty$-simplitsialnye moduli”, Mat. zametki, 96:5 (2014), 709–731
[10] Connes A., “Cohomologie cyclique et foncteurs ${\rm Ext}^n$”, C. R. Acad. Sci. Paris Ser. I Math., 296 (1983), 953–958
[11] Lapin S. V., “Tsiklicheskie moduli s $\infty$-simplitsialnymi granyami i tsiklicheskie gomologii $A_\infty$-algebr”, Mat. zametki, 102:6 (2017), 874–895
[12] Lapin S. V., “Cyclic homology of cyclic $\infty$-simplicial modules”, Georgian Math. J., 25:4 (2018), 571–591
[13] Lapin S. V., The homotopy invariance of cyclic homology of $A_\infty$-algebras over rings, 27 May 2019, 26 pp., arXiv: 1905.10991v1 [math.AT]
[14] Smirnov V. A., Simplicial and operad methods in algebraic topology, Transl. Math. Monogr., 198, Amer. Math. Soc., Providence, RI, 2001
[15] Stasheff J. D., “Homotopy associativity of $H$-spaces, I, II”, Trans. Amer. Math. Soc., 108:2 (1963), 275–312
[16] Lapin S. V., The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces, 3 Mar 2019, 25 pp., arXiv: 1903.00869v1 [math.AT]