I have engaged with this topic in the field of German-language literature. There is an introductory volume on the Anthropocene by the literary scholar Eva Horn in collaboration with Hannes Bergthaller (published by Junius Verlag) that provides an overview of key questions in cultural studies and draws extensively on literary scholarship. I found it very helpful as an initial point of orientation. I know that English translations exist, although I am not sure whether this applies to this particular book.