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NOTES ON AND AROUND TQFT’S Contents

of REU talks given by Peter May in 2007. They were collated and slightly edited by May in 2011. All errors are to be ascribed to May. The note takers are identified in the section titles. The notes are leisurely and non-linear. The same topics are returned to with increasing detail and differing emphases as the notes proceed. The individual sections are very short, and the table of contents above gives a guide. Since the order of sections has been rearranged, there may be inconsistencies of internal references. The material in Sections 32–36 comes from lecture notes taken by Bohmann on a lecture given by Mitya Boyarchenko that was based on ideas of Graeme Segal. It attempts to relate the axioms for a TQFT to physics. This is purely motivational and plays no role in the rest of the course.