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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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Mar 13

#### 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