In this paper we shall review some recent results on the asymptotic expansion of the equivariant components of an algebro geometric Szego kernel determined by the linearization of a Hamiltonian action of U(2) (with certain assumptions). We shall build on the techniques developed in [13], [1], and [11], and therefore ultimately on the microlocal description of the Szego kernel as a Fourier integral operator in [3].
Galasso, A., Paoletti, R. (2019). Hamiltonian U(2)-actions and Szegö kernel asymptotics. In The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32). Institute of Physics Publishing [10.1088/1742-6596/1194/1/012035].
Hamiltonian U(2)-actions and Szegö kernel asymptotics
Galasso, A.;Paoletti, R
2019
Abstract
In this paper we shall review some recent results on the asymptotic expansion of the equivariant components of an algebro geometric Szego kernel determined by the linearization of a Hamiltonian action of U(2) (with certain assumptions). We shall build on the techniques developed in [13], [1], and [11], and therefore ultimately on the microlocal description of the Szego kernel as a Fourier integral operator in [3].
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