Abstract
In this work we compute the topological Euler characteristic of the moduli space of stable sheaves of Hilbert polynomial 4n+1 on P2 to be 192, using tools of algebraic geometry. This Euler characteristic is equal up to sign to the degree 4 BPS (Gopakumar–Vafa) invariant of local P2, a (noncompact) Calabi–Yau 3-fold. This is a new result verifying an instance of conjecture motivated by physics.
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