Orienting the Hilbert scheme of points on a spin threefold

Publication date: 24 May 2023

Abstract: We give an algebraic construction of orientation data for the Hilbert scheme of 0-dimensional subschemes of a smooth projective threefold endowed with a choice of square root of the canonical sheaf.

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Motivic cohomology; motivic homotopy theory (14F42) Computational real algebraic geometry (14Q30)

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