The cohomological Hall algebra and M-theory
Location: MSRI: Simons Auditorium
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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