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9781470476229 Academic Inspection Copy

Uniqueness of Exact Borel Subalgebras and Bocses

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Julian Kulshammer, Uppsala University, Sweden. Vanessa Miemietz, University of East Anglia, Norwich, United Kingdom
1. Introduction 2. $A_\infty $-algebras, Kadeishvili's theorem and Merkulov's construction 3. Quasi-hereditary algebras and bocses 4. $A_\infty $-structures on Ext-algebras and uniqueness of bocses A. The lift of the comultiplication $\mu _2$ on $\mathcal {P}$ B. The homotopy $\mu _3$ on $\mathcal {P}$ up to which $\mu _2$ is coassociative C. The maps $\mu _4^0, \mu _4^1, \mu _4^2$ on $\mathcal {P}$ D. The maps $\mu _5^0$ and $\mu _5^1$ on $\mathcal {P}$ E. The map $\mu _6^0$ on $\mathcal {P}$
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