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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.

flag	asked Aug 5 at 17:15 Sadiq Ahmed 27●2

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The answer to your question depends on your background and on your interests. How much symplectic geometry do you know? Are your primarily interested in math or in physics? In other words: what do you know? what do you want to learn and why? – Eugene Lerman Aug 6 at 14:11

A commented list of references is here: ncatlab.org/nlab/show/… – Urs Schreiber Apr 14 at 13:12

Alexander Chervov · Answer 1 · 2012-08-05 19:08:47Z UTC

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

MTS · Answer 2 · 2012-08-05 18:51:20Z UTC

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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.

answered Aug 5 at 18:51

MTS
5,306●1●9●27

	Have you read it? How good is it as a first introduction? – Sadiq Ahmed Aug 6 at 10:36
	I haven't read it, sorry! – MTS Aug 6 at 20:40

Mateusz Wasilewski · Answer 3 · 2012-08-05 20:17:17Z UTC

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.

Giuseppe · Answer 4 · 2012-09-10 12:10:38Z UTC

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

answered Sep 10 at 12:10

Giuseppe
2,379●7●23

Mark Grant · Answer 5 · 2012-09-10 12:21:03Z UTC

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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.

answered Sep 10 at 12:21

Mark Grant
9,061●1●13●33

A good primer for geometric quantization.

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