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
4,853 answers , 20,624 comments
1,470 users with positive rep
501 active unimported users
More ...

Prequisites to learn Topological Field Theory?

+ 6 like - 0 dislike
37 views

Sorry for the somewhat qualitative question but what are the essential prerequisites for someone wanting to learn topological field theory from say the more physical side of things? The math side also sounds interesting but it may be a bit heavy going for my current background. I know quantum mechanics, some algebraic topology and some basic manifold theory. Here is the impression of what I have so far:

  • Path integral formulation of QFT
  • Differential Geometry including differential forms, bundles, cohomology theory etc
  • Yang-Mills/Chern-Simons gauge theories
  • Knot Theory and the Jones Polynomial

And for a more mathematical view:

  • Category Theory.

Baez's book "Gauge Fields, Knots and Gravity" seems to cover a good amount of these topics.

Am I on the right track or should I add/remove any topics from these? Thanks.

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user lastone
asked Feb 1, 2013 in Theoretical Physics by lastone (30 points) [ no revision ]
Most voted comments show all comments
Hi lastone, and welcome to Physics Stack Exchange! Questions like this, about the mathematical prerequisites to a physical topic, are not really what this site is for, but you could suggest an edit to the TFT tag wiki that includes this information.

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user David Z
@DavidZaslavsky he obviosly does not have the information, so he can not suggest a meaningful edit to the the tagwiki ... The ones who ask, are not the ones who can put the information there, that would be the answerers. That is why I still disagree with the direct edits. It will never work unless you successfully launch a large campain to get actually the information needed into the tagwikis. People who possess the information will not put it there just like that such that people who need it, such as this OP, can retrieve it. We have a catch 22 and are stuck with not getting this info at all

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user Dilaton
Related: physics.stackexchange.com/q/41589/2451

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user Qmechanic
@Dilaton did you notice the information you suggest the OP doesn't have is actually included in the question in this case?

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user David Z
@DavidZaslavsky In this case he seems to have a rough idea what is needed. But this is certainly not generally the case when people come here to aks about books and mathematical prerequisits. Alternatively to start a campain to get the information put into the tagwikis, if could work if the closing moderators consistently leave a message for the people who would have answered, saying that the answers should be written into the tagwikis AND the closed question does not get deleted before the information actually has been put there.

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user Dilaton
Otherwise we will keep being stuck with this "getting-no-new-information-about-books-and-mathematical-prerequisits-to-study-s‌​tuff"-paradox we now face forever ... :-/

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user Dilaton
@Qmechanic it seems that you again overlooked that this question has 3 reopen votes instead of the question being edited. So I guess your voting leave closed even though the community might want to reopen the question was an accident again?

This post imported from StackExchange Physics at 2014-07-09 07:33 (UCT), posted by SE-user Dilaton

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$\hbar$ysi$\varnothing$sOverflow
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
...