The homotopy invariance of dihedral homology of involutive\n A_\∞-algebras over rings

2019/06/14 by С. В. Лапин, Lapin, S. V., S. V. Lapin
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1906.06335

Abstract

The dihedral homology functor HD:A_\∞^ rm inv(K)\→ GrM(K) from the\ncategory A_\∞^ rm inv(K) of involutive A_\∞-algebras over any\ncommutative unital ring K to the category GrM(K) of graded K-modules is\nconstructed. Further, it is showed that this functor sends homotopy\nequivalences of involutive A_\∞-algebras into isomorphisms of graded\nmodules.\n

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