Justin Sawon

activity

19992012

most citedRozansky-Witten invariants of hyperkähler manifolds

32 citations · 34 across the 3 of their papers we have counts for

collaborators

Showing 2005Show all

4 papers · 1 filter

math.AG2005

Lagrangian fibrations on Hilbert schemes of points on K3 surfaces

Justin Sawon

Let $Hilb^{g} S$ be the Hilbert scheme of $g$ points on a K3 surface $S$ . Suppose that $Pic S ≅ Z C$ where $C$ is a smooth curve with $C^{2} = 2 (g - 1) n^{2}$ . We prove tha…

math.AG2005

Deformations of holomorphic Lagrangian fibrations

Justin Sawon

Let $X \to ¶^{n}$ be a $2 n$ -dimensional projective holomorphic symplectic manifold admitting a Lagrangian fibration over $¶^{n}$ . Matsushita proved that the fibration can be deformed in…

math.AG2005

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…

math.GT2005

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…