Lecture Notes and Resources for Math 283, Winter 2008, "Topological Quantum Field Theories"
TeXed Lecture Notes
Rough TeXed versions of the lecture notes for Math 283 are available here. (Current through Feb 07, 2008.)
Scanned Lecture Notes
Scanned hand-written lecture notes from class are available below in PDF format.
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Resources
Full citations are given in the PDF notes file above.
- Abrams, Lowell. "Two-dimensional topological quantum field theories and Frobenius algebras."
- Anderson, Frank W., and Kent R. Fuller. Rings and categories of modules.
- Baez, John, David Corfield, and Urs Schreiber. The n-Category Café.
- Brown, Edgar H., Jr. "Twisted Tensor Products. I."
- Brylinski, Jean-Luc. Loop spaces, characteristic classes and geometric quantization.
- Burghelea, D., and Z. Fiedorowicz. "Cyclic homology and algebraic K-theory of spaces. II."
- Chas, Moira, and Dennis Sullivan. "String topology."
- Cohen, F. R., R. L. Cohen, B. M. Mann, and R. J. Milgram. "The topology of rational functions and divisors of surfaces"
- Dwyer, W. G., M. J. Hopkins, and D. M. Kan. "The homotopy theory of cyclic sets."
- Gerstenhaber, Murray."The cohomology structure of an associative ring."
- Getzler, E. "Batalin-Vilkovisky algebras and two-dimensional topological field theories."
- Goodwillie, Thomas G. "Cyclic homology, derivations, and the free loopspace."
- Jones, John D. S. "Cyclic homology and equivariant homology."
- Loday, Jean-Louis. Cyclic homology.
- Loday, Jean-Louis, and Daniel Quillen. "Cyclic homology and the Lie algebra homology of matrices."
- Mac Lane, Saunders. Categories for the working mathematician.
- J. P. May. The geometry of iterated loop spaces. Available for download here.
- Milnor, John W., and James D. Stasheff. Characteristic classes.
- Segal, Graeme. "Topological structures in string theory."
- Segal, Graeme. "The definition of conformal field theory."
- Preliminary notes from Graeme Segal's lectures on TQFTs at the July-August 1999 ITP Workshop on Geometry and Physics.
- Weibel, Charles A. An introduction to homological algebra.
Last modified: 13 Apr 2008
