32 citations · 157 across the 30 of their papers we have counts for
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Lagrangian fibrations on Hilbert schemes of points on K3 surfaces
Justin Sawon
Let be the Hilbert scheme of points on a K3 surface . Suppose that where is a smooth curve with . We prove tha…
Deformations of holomorphic Lagrangian fibrations
Justin Sawon
Let be a -dimensional projective holomorphic symplectic manifold admitting a Lagrangian fibration over . Matsushita proved that the fibration can be deformed in…
Twisted Fourier-Mukai transforms for holomorphic symplectic fourfolds
Justin Sawon
We apply the methods of C{ă}ld{ă}raru to construct a twisted Fourier-Mukai transform between a pair of holomorphic symplectic four-folds. More precisely, we obtain an equivalence b…
Perturbative expansion of Chern-Simons theory
Justin Sawon
An overview of the perturbative expansion of the Chern--Simons path integral is given. The main goal is to describe how trivalent graphs appear: as they already occur in the pertur…