A good primer for geometric quantization. - MathOverflow

A good primer for geometric quantization.

2012-08-05T17:15:05Z

Hello everyone:

I'm searching for a good primer on geometric quantization.

I found the following:

Mathematical foundations of geometric quantization (A. Echeverria-Enriquez, et al.)

Symplectic geometry and geometric quantization (M. Blau)

Geometric quantization (W. Ritter)

If anyone can suggest any other(s)*, I would be greatly appreciative.

Warm regards.

Answer by MTS for A good primer for geometric quantization.

2012-08-05T18:51:20Z

There is a set of lecture notes based on a course given by Alan Weinstein called Lectures on the Geometry of Quantization. It is part of the Berkeley Mathematics Lecture Notes series published by the AMS. You can also find the pdf freely available at Weinstein's homepage.

Answer by Alexander Chervov for A good primer for geometric quantization.

2012-08-05T18:55:13Z

http://books.google.ru/books/about/Geometric_Quantization_in_Action.html?id=zQwTYTLlTRcC&redir_esc=y

Hurt's book is inspiring.

http://www.mathnet.ru/eng/intf35

Kirillov survey is short and concise.

J.Snyaticki, Geometric and Quantum Mechanics, Ap Sciences Series Vol.

http://www.amazon.com/gp/aw/d/0198502702

I do not have these ones. Woodhouse book is by Oxford university press should be good.

http://books.google.com/books/about/Geometric_Asymptotics.html?id=58PgdwJzirUC

This has one chapter on g.q. it is quite good

Answer by Mateusz Wasilewski for A good primer for geometric quantization.

2012-08-05T20:17:17Z

Maybe I'll elaborate a little on books written by Śniatycki and Woodhouse, because these are the ones that I've read (or rather gave up trying).

At first I picked Woodhouse, but I had to stop, probably due to weakness of my geometrical background at the time. For me, it was rather dry and I don't remember seeing there even one example completely worked out.

In the preface of Śniatycki's book it is written that its aim is performing actual computations (or something like that; I don't have it at hand). So I went the extra mile and struggled with it for a while, getting almost to the end. It was quite hard, but the reward waiting for me, a bunch of thoroughly examined examples (although I was forced to provide some details, but mainly because I wasn't aware of some standard techniques), was worth it.

It is also definitely not a bad idea to search homepage of John Baez; I remember that there are some resources concerning this topic.

Answer by Giuseppe for A good primer for geometric quantization.

2012-09-10T12:10:38Z

There is "Geometric Quantization: A Crash Course" by Eugene Lerman.

Answer by Mark Grant for A good primer for geometric quantization.

2012-09-10T12:21:03Z

Teru Thomas gave some nice introductory lectures on Geometric Quantization in Edinburgh a year ago. The notes, along with notes on subsequent topics, are on his webpage here.