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Aug 5, 2010 at 16:15 vote accept Kevin H. Lin
Jul 25, 2010 at 21:29 comment added Kevin H. Lin Thanks, Damien. By the way, Lurie has a new paper that is probably relevant to this discussion: math.harvard.edu/~lurie/papers/moduli.pdf
Jul 24, 2010 at 19:06 comment added DamienC I would advise you to take a look at Marco Manetti's paper "Extended deformation functors" (IMRN) or "Deformation theory via differential graded Lie algebras" (math.AG/0507284). Another excellent reference (but difficult to read, at least for me) is of course DAG-IV by Jacob Lurie : math.harvard.edu/~lurie/papers/DAG-IV.pdf
Jul 22, 2010 at 7:28 comment added Kevin H. Lin Do you know any references that talk about "derived" deformations? Is any of this written up anywhere yet?
Jul 16, 2010 at 20:57 comment added DamienC Yes, exactly! :-)
Jul 14, 2010 at 23:10 comment added Kevin H. Lin Oh, I see. We have $m_n : V^{\otimes n} \to V[2-n]$, which has "Hochschild degree" $n$ but "homological degree" $2-n$, hence total degree $n+2-n = 2$.
Jul 14, 2010 at 22:41 comment added Kevin H. Lin How can I view the "Taylor coefficients" or structure maps $m_n$ of an $A_\infty$ algebra as elements of the Hochschild cochain complex?
Jul 14, 2010 at 20:54 history edited DamienC CC BY-SA 2.5
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Jul 14, 2010 at 20:49 history edited DamienC CC BY-SA 2.5
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Jul 14, 2010 at 20:41 history answered DamienC CC BY-SA 2.5