Math 829F: Riemann Surfaces

As the course progresses, we will build a bibliography of all books, papers, web pages, and other references that we use. You are only required to read/use the main reference, but you will probably find many of the other references useful -- if not in this course, then in the future.

Main Reference:

[JJ]	J. Jost, Compact Riemann Surfaces, Third Edition. Berlin: Springer Verlag, 2006.

Supplementary references specific to this course include:

Riemann Surfaces:

[AS]	L.V. Ahfors and L. Sario, Riemann Surfaces. Princeton: Princton University Press, 1960.
[S]	W. Schlag, A concise course in complex analysis and Riemann surfaces. URL-- https://math.uchicago.edu/~schlag/bookweb.pdf

Teichmüller Spaces:

[BG]	L. Bers and F. Gardiner, Fricke Spaces. Advances in Mathematics 62 (1986), 249-284.
[IT]	Y. Imayoshi and M. Taniguchi, An Introduction to Teichmüller Spaces. Tokyo: Springer-Verlag, 1992.

And some general references for the "background" material are:

Differential Geometry:

[O]	B. O'Neill, Semi-Riemannian Geometry. New York: Academic Press, 1983.
[P]	W. Poor, Differential Geometric Structures. New York: McGraw-Hill, 1981. (Dover reprint, 2007.)

Differential Topology:

[H]	M. Hirsh, Differential Topology, GTM 33. New York: Springer, 1976.
[L]	J. Lee, Introduction to Smooth Manifolds, GTM 218. New York: Springer, 2003.
[PP]	P.E. Parker, Lectures on Differntial Manifolds, Bundles, and Groups. DGS Preprint P11-PBR1, Wichita: 2015.
	This text also includes an extensive review of groups actions and a thorough introduction to Lie groups. The treatment of Lie groups follows a text by P. Tondeur (see the reference within [PP]), and is somewhat "non-standard" -- but extremely elegant and enlightening.

Complex Analysis:

[A]	L. Ahlfors, Complex analysis: an introduction to the theory of analytic functions. New York: McGraw-Hill, 1953.