Geneva has been associated with Jean-Jacques Rousseau. There are quite a few allusions to Rouseau and Rousseauvean ideals in the novel. Both Percy and Mary Shelley, as well as her mother (Mary Wollstonecraft) and father (William Godwin) were deeply influenced by Rousseau's ideas of freedom, passion, and sensibility. 

https://upload.wikimedia.org/wikipedia/commons/a/aa/Rousseau_Geneve.JPG  (Rouseau's statue in Geneva)