This book consists mainly of slightly revised notes of a seminar held at the Institute for Advanced Study in 1963-64 upon the initiative of A. Borel. Aside from going through the details of the proof of the Index Theorem, the major emphasis of the seminar was placed on developin…
In this paper we formulate and prove an index theorem for minimal surfaces of higher topological type spanning one boundary contour. Our techniques carry over to surfaces with several boundary contours as well as to unoriented surfaces.
This memoir is devoted to the study of the coefficients growth of formal power series satisfying a given analytic linear differential equation.
"The author's main goal in this volume is to give a complete proof of the index theorem. The version of the proof he chooses to present is the one based on the localization theorem. The prerequisites include a first course in differential geometry, some linear algebra, and some …
