Blackboards #

January 16th Trying to understand what the square root of a differential form is and how it operates. These objects are important for the geometric quantisation of so-called real polarisation

January 30th The 1/2-form corrected geometric quantisation of the position operator (spoilers - which is just multiplication). This is the first time I have written out this derivation and understood every part of it.

January 31st Doing some conversions to complex coordiantes to look at the 1/2-form corrected Kahler quantisation of the harmonic oscillator

Febuary 1st Rough sketching of ideas with visitor

December 18th Understanding the argument that quantisation commutes with reduction as described in Guillemin and Sternberg’s 1982 paper Geometric quantization and multiplicities of group representations

November 26th Trying to understand the gauge invariance of the covaraint derivative for the prequantum line bundle

November 23th Blackboard discussion of some general ideas