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The cohomological Hall algebra and M-theory

Structures in Enumerative Geometry March 19, 2018 - March 23, 2018

March 19, 2018 (11:15 AM PDT - 12:15 PM PDT)
Speaker(s): Kevin Costello (Perimeter Institute of Theoretical Physics)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



I'll describe a conjectural way to understand the COHA of certain toric Calabi-Yau three-folds in terms of a 5-dimensional gauge theory given by compactifying M-theory on the Calabi-Yau. An analysis of the 5-dimensional gauge theory leads to a conjectural expression for the COHA as the positive part of the double current algebra built from a supergroup. This expression reproduces known formulae for the refined DT invariants of the toric Calabi-Yau

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