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3 votes
0 answers
117 views

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 $\phi: M \rightarrow N$...
Elliot's user avatar
  • 295
6 votes
0 answers
126 views

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 ...
Jim Stasheff's user avatar
  • 3,880
18 votes
2 answers
1k views

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; ...
Ben Wieland's user avatar
  • 8,717