Filtered $$cA_\infty $$cA∞-Categories and Functor Categories
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DOI: 10.1007/s10485-018-9526-2
Abstract: We develop the basic theory of curved $$A_{\infty }$$A∞-categories ($$cA_{\infty }$$cA∞-categories) in a filtered setting, encompassing the frameworks of Fukaya categories (Fukaya et al. in Part I, AMS/IP studies in advanced mathematics, vol 46, American Mathematical… read more here.
Keywords: mathfrak mathfrak; infty functors; categories filtered; infty categories ... See more keywords
On the Maurer-Cartan simplicial set of a complete curved $$A_\infty $$-algebra
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DOI: 10.1007/s40062-021-00290-8
Abstract: In this paper, we develop the $$A_\infty $$ A ∞ -analog of the Maurer-Cartan simplicial set associated to an $$L_\infty $$ L ∞ -algebra and show how we can use this to study the deformation… read more here.
Keywords: complete curved; infty algebra; simplicial set; curved infty ... See more keywords