Colloquium

Note on the Spectral Geometry of Magnetic Schrödinger Operators on Compact Riemannian Surfaces

多羅間 大輔

6月19日(金) 13時30分

Recently, Tejero Prieto (2006) calculated some spectra of magnetic Schrödinger operators on compact Riemann surfaces. His method is based on an algebraic relation of connections of line bundles which is analogous to the (Akizuki-Kodaira-)Nakano formula well-known in Kählerian geometry. We give a representation theoretic interpritation to the calculation carried out by Tejero Prieto.

参考文献:

C. Tejero Prieto, "Holomorphic spectral geometry of magnetic Schrödinger operators on Riemann surfaces.",Differential Geom. Appl. 24 (2006), no. 3, 288-310.