Heart of the Bridge

Heart of the Bridge manga summary: Frightening meteorites hit the ground, and opening bridges to other worlds. Some people gain amazing physical and magical abilities, that they used to fight monsters coming out of bridges. The main character (Emma Soga) dies killed by a monster, but for unexplained reasons, she comes back to life. She gains the mysterious abilities that she uses to fight invaders from other worlds, and to try to regain his freedom.