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Pavel Safronov: Lectures

January 7, 2020
TITLE: Enumerative invariants from supersymmetric twists

ABSTRACT: I will recall the notion of supersymmetric twisting to obtain a topological field theory from a supersymmetric one. I will work through some examples in dimensions 7 and 8 to explain the appearance of the problem of counting Spin(7)-instantons and G2-monopoles as well as categorified and twice-categorified Donaldson—Thomas invariants.