1st Edition

The Atiyah-Patodi-Singer Index Theorem

By Richard Melrose Copyright 1993
    392 Pages
    by A K Peters/CRC Press

    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.

    Introduction and the proof 1 Ordinary differential problems 2 Exact b-geometry 3 Spin Structures 4 Small b-calculus 5 Full calculus 6 Relative index, cohomology and resolvent 7 Heat calculus 8 Local index theorem 9 Proof revisited and applications.


    Richard Melrose