%0 Journal Article %T A generalized Poincar¨¦-Hopf index theorem %A Beno£¿t Jubin %J Mathematics %D 2009 %I arXiv %X We state and prove a generalization of the Poincar\'e-Hopf index theorem for manifolds with boundary. We then apply this result to non-vanishing complex vector fields. %U http://arxiv.org/abs/0903.0697v2