The tweet at your link says the judge ruled he will not allow the jury to consider criminally negligent homicide. I wonder who requested that?
Also, below is a professional photo of a Lucid Absinthe bottle. It has a unique shape in that it's rounded at the top, but squares off at the bottom. The "squared" part of the bottle has rounded edges, hence the pathologist's opinion that her blunt trauma injury was caused by the bottle. If West held it by the neck, as his fingerprint indicates, he would have struck the left side of her head with the lower part of the bottle, with the rounded edges.
Second twitter down from the one linked above:
Apparently, the defense objected to a charge of reckless manslaughter. Will have to wait for more updates from reporters.