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We study the equivariant version of the genus zero BPS invariants of the total space of a rank 2 bundle on $\mathbb P^1$ whose determinant is $\mathcal O_{\mathbb P^1}(-2)$. We define the equivariant genus zero BPS invariants by the residue integrals on the moduli space of stable sheaves of dimension one as proposed by Katz [11]. We compute these invariants for low degrees by counting the torus fi...

Genus Zero BPS Invariants for Local ℙ1