A surjective commutative forgetful diagram exists from the C*-flip chain of moduli spaces of O_X-twisted rank 2 constrained framed Hitchin pairs to the C*-flip chain of moduli spaces of rank 2 framed modules on a smooth complex projective curve.
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A chain of $\mathbb{C}^{*}$-flips of the moduli spaces of $\mathcal{O}$-twisted rank 2 constrained framed Hitchin pairs on a smooth curve
A surjective commutative forgetful diagram exists from the C*-flip chain of moduli spaces of O_X-twisted rank 2 constrained framed Hitchin pairs to the C*-flip chain of moduli spaces of rank 2 framed modules on a smooth complex projective curve.