“The Invisible Man,” which cost only $7 million and opens in theaters on Feb. 28, is definitely not your father’s monster movie. For one, this updated version is laced with gore and violence, and it departs considerably from the original with a plot set in the present day. The story, which director Leigh Whannell wrote, centers on an enigmatic woman, Cecilia (Elisabeth Moss), trying to escape from an abusive techno-rich boyfriend (Oliver Jackson-Cohen) who continues to stalk her when he devises a method to make himself invisible.