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Topological Quantum Field Theory via Chren-Simons Theory, part 1

Published 2 Dec 2011 in math-ph, math.MP, and quant-ph | (1112.0373v1)

Abstract: To understand what does Chern-Simons with compact Lie group(does not like Dijkgraaf-Witten model with finite group in 3d) attach to a point, we first give a construction of Topological Quantum Field Theory(TQFT) via Chern-Simons theory in this paper. We discuss the Topological Quantum Field Theory and Chern-Simons theory via Category, then interpret the cobordism as cospan and field of space-time as span, which ultimately deduce the construction of TQFT.

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