The paper derives explicit formulas for LMOV invariants of the framed unknot, but the multi-hole formula (29) is wrong as written.
On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds
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abstract
The Remodeling Conjecture proposed by Bouchard-Klemm-Mari\~{n}o-Pasquetti (BKMP) [arXiv:0709.1453, arXiv:0807.0597] relates the A-model open and closed topological string amplitudes (the all genus open and closed Gromov-Witten invariants) of a semi-projective toric Calabi-Yau 3-manifold/3-orbifold to the Eynard-Orantin invariants of its mirror curve. It is an all genus open-closed mirror symmetry for toric Calabi-Yau 3-manifolds/3-orbifolds. In this paper, we present a proof of the BKMP Remodeling Conjecture for all genus open-closed orbifold Gromov-Witten invariants of an arbitrary semi-projective toric Calabi-Yau 3-orbifold relative to an outer framed Aganagic-Vafa Lagrangian brane. We also prove the conjecture in the closed string sector at all genera.
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2019 1verdicts
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On explicit formulae of LMOV invariants
The paper derives explicit formulas for LMOV invariants of the framed unknot, but the multi-hole formula (29) is wrong as written.