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Homotopy transfer for A-infinity algebras
 Kopřiva, Jakub ; Doubek, Martin (advisor) ; Markl, Martin (referee)
Homotopický přenos A∞ algeber Jakub Kopřiva Abstract This bachelor's thesis deals with the problem of homotopy transfer for A∞ algebras. It strives to give an account of the problem as complete and as self- contained as possible. At first, it presents the correspondence with codiffe- rentials on reduced tensor coalgebras and A∞ algebras, which is colloquially know as the bar construction. The thesis is, however, mainly concerned with the homotopy transfer for A∞ algebras accordning to Markl (2006). We de- duce the formulæ published by Markl and we give proof of their correctness. We also demonstrate that, under additional requirements, Markl's formulas coincide with formulas derived using the homological perturbation lemma.
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