Having witnessed the cataclysmic confrontation between dark and light, Swamp Thing realizes that all reality has changed, but one driving desire remains in his heart: returning to his wife, Abby. Unbeknownst to Swamp Thing, back in Louisiana his marriage to Abby has been exposed and has resulted in her being arrested for "a sexual crime against the laws of nature," alone and uncertain of her beloved husband's fate, Abby chooses to flee Louisiana and seek refuge on the shadowy streets of Gotham City, where her circumstances draw the attention of Gotham's Dark Knight -- Batman! When Abby is taken into custody by Gotham's finest, Swamp Thing is drawn into a war for her freedom against Batman and all the forces of Gotham City -- a battle that breaks Swamp Thing's bond to the planet Earth and leaves him on a mysterious planet of blue, in the timeless take "My Blue Heaven." This classic saga by the legendary creative team if Alan Moore, John Totleben, Rick Veitch and Alfredo Alcala continues the evolution of Swamp Thing from a mire-dwelling man-monster into an elemental being with power that exceeds the bonds of the Earth itself. ---------- Returned from his sojourn to hell, Swamp Thing discovers that his girlfriend Abby is being persecuted for their "unnatural relations". When she skips town for Gotham City, he follows and runs afoul of Batman, Lex Luthor, and the Gotham City P.D. — Description from Comic Vine community (comicvine.gamespot.com).
