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edited Jul 15 2010 at 4:16

Kevin Lin
12.9k●2●33●115

When we are dealing with ordinary things or dg things (where thing = algebra or category), I think I understand how HH^2 corresponds to 1st order deformations and HH^3 corresponds to obstructions.

One often hears (or at least I often hear) that HH^* corresponds to A-infinity deformations. I am wondering whether there is any reference which works this out precisely. (EDIT: EDIT: This seems to be incorrect . (depending on what we mean by "deformation"). See Damien's answer.)answer. And see David Ben-Zvi's comment.

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edited Jul 15 2010 at 3:13

Kevin Lin
12.9k●2●33●115

When we are dealing with ordinary things or dg things (where thing = algebra or category), I think I understand how HH^2 corresponds to 1st order deformations and HH^3 corresponds to obstructions.

One often hears (or at least I often hear) that HH^* corresponds to A-infinity deformations. I am wondering whether there is any reference which works this out precisely. (EDIT: This seems to be incorrect. See Damien's answer.)

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edited Jul 14 2010 at 19:08

Kevin Lin
12.9k●2●33●115

When we are dealing with ordinary things or dg things (where thing = algebra or category), I think I understand how HH^2 corresponds to 1st order deformations and HH^3 corresponds to obstructions.

One often hears (or at least I often hear) that HH^* corresponds to A-infinity deformations. I am wondering whether there is any reference which works this out precisely.