Index theorems for holomorphic maps and foliations Marco AbateFilippo BracciFrancesca Tovena 32S6537F1032A2737F7553C12index theoremholomorphic foliationsholomorphic mapscomfortably embedded submanifoldsholomorphic connections We describe a general construction providing index theorems localizing the Chern classes of the normal bundle of a subvariety inside a complex manifold. As particular instances of our construction we recover both Lehmann-Suwa's generalization of the classical Camacho-Sad index theorem for holomorphic foliations and our index theorem for holomorphic maps with positive dimensional fixed point set. Furthermore, we also obtain generalizations of recent index theorems of Camacho-Movasati-Sad and Camacho-Lehmann for holomorphic foliations transversal to a subvariety. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3729 10.1512/iumj.2008.57.3729 en Indiana Univ. Math. J. 57 (2008) 2999 - 3048 state-of-the-art mathematics http://iumj.org/access/