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
3,930 questions , 1,398 unanswered
4,862 answers , 20,637 comments
1,470 users with positive rep
502 active unimported users
More ...

Physicists Euler number conjecture

+ 6 like - 0 dislike
693 views

Physicist's Euler number conjecture says:

If $G \subset SL(n,\mathbb{C})$ is a finite group, $X=\mathbb{C}^n/G$ is the quotient space and $f:Y \rightarrow X$ a crepant resolution (always exists for $n\leq 3$). Then there exists a basis of $H^*(Y,\mathbb{Q})$ consisting of algebraic cycles in one-to-one correspondence with conjugacy classes of $G$.

I have seen some works (by Reid,...) which date back to 2000. What are the recent results around this conjecture?

See : The McKay correspondence for finite sungroups of SL(3,C), by Miles Reid and Yukari Ito.

This post imported from StackExchange MathOverflow at 2014-08-01 07:39 (UCT), posted by SE-user Mohammad F. Tehrani
asked Feb 27, 2012 in Theoretical Physics by Mohammad F. Tehrani (50 points) [ no revision ]
retagged Aug 1, 2014
Do you know what this has to do with physics?

This post imported from StackExchange MathOverflow at 2014-08-01 07:39 (UCT), posted by SE-user J.C. Ottem
Physicists interested in String theory came up with this, while studying strings on the resolved Calabi-Yau, See: L. Dixon, J. Harvey, C. Vafa and E. Witten, Strings on orbifolds

This post imported from StackExchange MathOverflow at 2014-08-01 07:39 (UCT), posted by SE-user Mohammad F. Tehrani
You might take a look at Miles Reid's Bourbaki seminar, warwick.ac.uk/~masda/McKay/Bour/Bour.pdf the book "Orbifolds in Mathematics and Physics" from 2001 and descriptions of results from the Newton Institute workshop "Higher Dimensional Complex Geometry" in 2002 which are available on their website. There must be more recent summaries of results than these, but I don't know where.

This post imported from StackExchange MathOverflow at 2014-08-01 07:39 (UCT), posted by SE-user Jeff Harvey
Yes, I have seen that, they are written around the same time.

This post imported from StackExchange MathOverflow at 2014-08-01 07:39 (UCT), posted by SE-user Mohammad F. Tehrani

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
...