Asymptotics of Almost Holomorphic Sections of Ample Line Bundles on Symplectic Manifolds: an Addendum
نویسندگان
چکیده
We define a Gaussian measure on the space H0 J (M,L N ) of almost holomorphic sections of powers of an ample line bundle L over a symplectic manifold (M,ω), and calculate the joint probability densities of sections taking prescribed values and covariant derivatives at a finite number of points. We prove that they have a universal scaling limit as N → ∞. This result will be used in another paper to extend our previous work on universality of scaling limits of correlations between zeros to the almost-holomorphic setting.
منابع مشابه
Asymptotics of Almost Holomorphic Sections of Ample Line Bundles on Symplectic Manifolds
In their work on symplectic manifolds, Donaldson and Auroux use analogues of holomorphic sections of an ample line bundle L over a symplectic manifold M to create symplectically embedded zero sections and almost holomorphic maps to various spaces. Their analogues were termed ‘asymptotically holomorphic’ sequences {sN} of sections of L . We study another analogue H J (M, L) of holomorphic sectio...
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