• Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.


PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback


(propose a free ad)

Site Statistics

205 submissions , 163 unreviewed
5,054 questions , 2,207 unanswered
5,345 answers , 22,721 comments
1,470 users with positive rep
818 active unimported users
More ...

  Why is geometric quantization (esp. Berezin-Toeplitz quantization) interesting for a symplectic geometer/topologist?

+ 7 like - 0 dislike

I know that many symplectic geometers are interested in quantization as well. From what I understood, quantization isn't expected to be used as a tool to answer symplectic questions (as in translating the problem to the quantum world, solve it there, and somehow go back), unlike the relation, for example between complex geometry and tropical geometry. Rather, it is supposed to be interesting and have appeal for reasons intrinsic to quantization.

As a person whose main interests are symplectic geometry, topology and algebraic geometry, why study quantization? What aspects or problems there may I find appealing?

For those who approach mathematics from the physics realm, I guess the answer is straightforward, as those ways of quantizing symplectic manifolds are attemps at formalization of some physical theories and beliefs.

I am looking for a more mathematically oriented answer, since I personally derive my interest and motivation from the intrinsic beauty of mathematics.


This post imported from StackExchange MathOverflow at 2016-02-25 15:17 (UTC), posted by SE-user Blade
asked Aug 6, 2014 in Theoretical Physics by Blade (35 points) [ no revision ]
retagged Feb 25, 2016
This is very broad to answer in a MO post. For orientation I suggest you read the 4-page intro to Kirillov's Lectures on the Orbit Method. (Berezin-Toeplitz is somewhat outside of the mainstream he describes.)

This post imported from StackExchange MathOverflow at 2016-02-25 15:17 (UTC), posted by SE-user Francois Ziegler

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification

user contributions licensed under cc by-sa 3.0 with attribution required

Your rights