Quantcast
  • 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.

News

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

Attributions

(propose a free ad)

Site Statistics

145 submissions , 122 unreviewed
3,928 questions , 1,396 unanswered
4,846 answers , 20,597 comments
1,470 users with positive rep
501 active unimported users
More ...

Deformation Quantization

+ 2 like - 0 dislike
59 views

I am a beginner and I want to learn about deformation quantization. Please suggest me with which book or notes, I should start?

This post imported from StackExchange MathOverflow at 2017-09-17 21:04 (UTC), posted by SE-user satyendra
asked May 13, 2016 in Theoretical Physics by satyendra (10 points) [ no revision ]
retagged Sep 17
Do you have something specific you would like to deform?

This post imported from StackExchange MathOverflow at 2017-09-17 21:04 (UTC), posted by SE-user AHusain
If you read German, try S. Waldmann's _ Poisson-Geometrie und Deformationsquantisierung. Eine Einführung._ (Springer, 2007).

This post imported from StackExchange MathOverflow at 2017-09-17 21:04 (UTC), posted by SE-user Igor Khavkine

1 Answer

+ 6 like - 0 dislike

Unfortunately, there is no real textbook on DQ around. One has Fedosov's book on his construction of star products including a detailed exposition of his index theorem.

There is a chapter on DQ in the recent Poisson geometry book by Laurent-Gengoux, Pichereau, Vanhaecke.

In the conference proceedings of the PQR2003 by Gutt, Rawnsley, and Sternheimer one finds some introductory texts, too.

Concerning the formality theorem of Kontsevich, one has the recent booklet by Esposito, which explains nicely the context (but does not contain the proof of the theorem)

You can also find lecture notes by Simone Gutt "Variations on DQ" or so, they should be on the arXiv somewhere, or on her homepage (?)

And, yes, as Igor mentioned, if you're not too afraid of german, then there is my german textbook on Poisson geometry and DQ with quite a bit of details.

This post imported from StackExchange MathOverflow at 2017-09-17 21:04 (UTC), posted by SE-user Stefan Waldmann
answered May 13, 2016 by Stefan Waldmann (440 points) [ no revision ]

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:
p$\hbar$ys$\varnothing$csOverflow
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).
To avoid this verification in future, please log in or register.




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

Your rights
...