Schedule Nov 02, 2005
Universal Manifold Pairings and "Quantum Media"
Dr. Michael Freedman, KITP

The operation of gluing two manifolds with the "same" boundary together to get a closed manifold extends sequilinearly to pairings on universal spaces. In low dimensions these pairing seem to have a positivity property but in higher dimensions null vectors appear. This phenomena tells us something about possible generalizations of Chern -Simons theory and suggests a novel reason that the connection between quantum mechanics and topology may be strongest in two spatial dimensions.

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