References:
I will be using the following references. If you'd like PDFs of any of the
papers, please ask me. The books are all available in the library.
M. Gromov and B. Lawson,
The classification of simply connected manifolds of positive scalar curvature,
Ann. of Math. 111 (1980), 423 - 434.
N. Hitchin, Harmonic Spinors,
Adv. in Math. 14 (1974), 1 - 55.
J. Jost, Riemannian Geometry and Geometric Analysis. Berlin: Springer-Verlag,
2008.
B. Lawson and M-L. Michelsohn, Spin Geometry. Princeton: Princeton University
Press, 1989.
A. Lichnerowicz, Spineurs harmonique, C.R. Acad. Sci. Paris 257
(1963), 7 - 9.
B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity. New York:
Academic Press, 1983.
R. Scheon and S.T. Yau, On the structure
of manifolds with positive scalar curvature, Manuscripta Math. 28 (1969)
159 - 183.
M. Walsh, Metrics of
positive scalar curvature and generalised Morse functions, PhD thesis,
University of Oregon, 2009.
Draft Lecture Notes:
Here are links to scans of hand-written draft notes for each lecture.
Lecture 1
Lecture 2
Lecture 3
Lecture 4