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3 questions
3
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0
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Twisting an L_{\infty} module quasi-isomorphism with a sufficiently small Maurer-Cartan element
I was wondering if someone could help me understand this result, or point me towards a reference. Suppose that $M$ and $N$ are $L_{\infty}$ modules over a dgla $L$. Suppose that $\phi: M \rightarrow N$...
6
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Cyclic version of Lie algebra cohomology
Lie algebra cochains have a differential $d$ where $d^2 =0$ because of the Jacobi identity, which can be written in the cyclic form or the Leibniz form. $L_\infty$ algebra cochains have a ...
18
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2
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Is homology finitely generated as an algebra?
If a differential graded algebra is finitely generated as an algebra, is its homology finitely generated as an algebra?
Is it easier if we impose any of the three conditions: characteristic zero; ...