XXXVII Workshop on Geometric Methods in Physics 1-7.07.2018
VII School on Geometry and Physics 25-29.06.2018

Tomoyo Kanazawa

A Direct Proof for an Eigenvalue Problem by Counting Lagrangian Submanifolds

Here we consider a kind of Schrödinger operators called the Bochner-Laplacian. Using Jensen's Formula and Vandermonde convolution, we show directly that for each $k=0,1,2,\ldots\,$, the number of Lagrangian submanifolds which satisfy the Maslov quantization condition is just equal to the multiplicity of the $k$th eigenvalue of the operator.

Event sponsored by:
of Bialystok
University of Bialystok

Webpage by: Tomasz GolinskiTomasz Golinski