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5 votes
1 answer
197 views

Examples of cyclic A-infinity algebra

I am wondering about (references to) examples of cyclic A-infinity algebras- especially including explicit descriptions of the structure maps and pairing. Thanks a lot!
6 votes
0 answers
255 views

Homotopy quotient of groups

Suppose $0\to A \stackrel{\iota}{\to} B \stackrel{\pi}{\to} C \to 0$ is a short exact sequence of groups. We have an induced map $k[\iota] : k[A] \to k[B]$ of group algebras over a field $k$. What ...
7 votes
0 answers
231 views

Hochschild cohomology of category of modules over an algebra

Let $A$ be a complex associative and unital algebra. Denote by $A\text{-mod}$ the category of finite-dimensional left modules over $A$. This is an Abelian category and we denote by $\text{Ch}_{\ge 0} (...
4 votes
1 answer
291 views

Intrinsic formality versus rigidity of a differential graded Lie algebra

Let $\mathfrak g:=(V,d,[\cdot,\cdot])$ be a differential graded Lie algebra (DGLA) where $d$ is the zero differential. Intrinsic formality: The DGLA $\mathfrak g$ will be said intrinsically formal ...