The suit does not charge Exxon with playing a role in creating climate change, though the burning of fossil fuels is a major contributor to human-driven warming. Rather, it is a fairly straightforward shareholder fraud suit, the kind that New York attorneys general have long brought and successfully prosecuted under state law.
It says the company engaged in a “longstanding fraudulent scheme” to deceive investors, analysts and underwriters “concerning the company’s management of the risks posed to its business by climate change regulation.”
https://www.nytimes.com/2018/10/24/climate/exxon-lawsuit-climate-change.html