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This work is based on Witten's lectures on topological quantum field theory. Sen Hu has included several appendices providing details left out of Witten's lectures, and has added two more chapters to update some developments.

This invaluable monograph has arisen in part from E Witten's lectures on topological quantum field theory in the spring of 1989 at Princeton University. At that time Witten unified several important mathematical works in terms of quantum field theory, most notably the Donaldson polynomial, the Gromov-Floer homology and the Jones polynomials.In his lectures, among other things, Witten explained his intrinsic three-dimensional construction of Jo...