Abstract
A relationship between curved differential algebras and corings is established and explored. In particular it is shown that the category of semi-free curved differential graded algebras is equivalent to the category of corings with surjective counits. Under this equivalence, comodules over a coring correspond to integrable connections or quasi-cohesive curved modules, while contramodules over a coring correspond to a specific class of curved modules introduced and termed $\mathbb Z$-divergences in here.
Citation
Tomasz Brzeziński. "Curved differential graded algebras and corings." Bull. Belg. Math. Soc. Simon Stevin 20 (5) 909 - 936, november 2013. https://doi.org/10.36045/bbms/1385390772
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