Which 2005 film starring Heath Ledger and Jake Gyllenhaal depicted a gay cowboy romance?

The 2005 film starring Heath Ledger and Jake Gyllenhaal about a gay cowboy romance was Brokeback Mountain. Directed by Ang Lee, it follows Ennis Del Mar and Jack Twist, two young men whose relationship begins while they work as sheep herders in Wyoming in 1963.

The film was adapted from Annie Proulx’s 1997 short story, with a screenplay by Larry McMurtry and Diana Ossana. Ledger plays the emotionally guarded Ennis, while Gyllenhaal portrays Jack, whose hopes for a shared life repeatedly collide with social pressure, marriage, and fear. Although commonly described as a cowboy film, much of its story concerns intimacy, repression, and the consequences of living in an intolerant era.

Filming took place mainly in Alberta, Canada, in 2004. Brokeback Mountain premiered at the Venice Film Festival, where it won the Golden Lion, and later received eight Academy Award nominations. It won Oscars for Ang Lee’s direction, adapted screenplay, and Gustavo Santaolalla’s original score.