http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Based on the lecture notes of a graduate course given at MIT, this sophisticated treatment leads to a variety of current research topics and will undoubtedly serve as a guide to further studies.
Part Introduction and the proof -- chapter 1 The Atiyah-Singer index theorem -- chapter 3 Boundary conditions versus b-geometry -- chapter 4 Preliminaries to the proof -- chapter 5 The proof -- chapter 6 Weighting -- chapter 7 Outline -- chapter 1 Ordinary differential operators -- chapter 2 Exact b-geometry -- chapter 3 Spin structures -- chapter 4 Small b-calculus -- chapter 5 Full calculus -- chapter 6 Relative index, cohomology and resolvent -- chapter 7 Heat calculus -- chapter 8 Local index theorem -- chapter 9 Proof revisited and applications.
Chapman & Hall/CRC research notes in mathematics series