@incollection{AST_2009__328__255_0, author = {Mathai, Varghese and Melrose, Richard B. and Singer, Isadore M.}, title = {The index of projective families of elliptic operators: the decomposable case}, booktitle = {From probability to geometry (II) - Volume in honor of the 60th birthday of Jean-Michel Bismut}, editor = {Dai Xianzhe and L\'eandre R\'emi and Xiaonan Ma and Zhang Weiping}, series = {Ast\'erisque}, pages = {255--296}, publisher = {Soci\'et\'e math\'ematique de France}, number = {328}, year = {2009}, mrnumber = {2674880}, zbl = {1207.19006}, language = {en}, url = {http://www.numdam.org/item/AST_2009__328__255_0/} }