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arXiv · 1402.0408

Curved homotopy coalgebras

Volodymyr Lyubashenko
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Abstract

We describe the category of homotopy coalgebras, concentrating on properties of relatively cofree homotopy coalgebras, morphisms and coderivations from an ordinary coalgebra to a relatively cofree homotopy coalgebra, morphisms and coderivations between coalgebras of latter type. Cobar- and bar-constructions between counit-complemented curved coalgebras, unit-complemented curved algebras and curved homotopy coalgebras are described. Using twisting cochains an adjunction between cobar- and bar-constructions is derived under additional assumptions.

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BibTeXRIS

Volodymyr Lyubashenko. 2014-02-03. Curved homotopy coalgebras. https://arxiv.org/abs/1402.0408

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