Let $X$ be a smooth manifold. Then $T^*X$ is canonically a symplectic manifold. Let $\alpha$ denote the canonical one form on $T^*X$ (so in local coordinates, $\alpha=\sum p_i dq_i$). Then the symplectic form is given by $\beta=d\alpha$.
Now suppose we have a free proper action of a Lie group $...
As far as I can tell, there are 73694 questions which have at least one top-level tag and 94753 total questions. So about 22% of questions are missing a top-leval tag. (So we could say that they are tagged incorrectly, if we take seriously the recommendations given on meta.)
I noticed that some of the more frequently used MO tags are formatted according to a certain pattern, e.g.:
nt.number-theory
pr.probability
lo.logic
fa.functional-analysis
Why are the tags formatted like this? Are they shortcuts for user convenience?
Here are some comments to start off on question 3. Feel free to edit.
What are top level tags, and why should I try to use them?
The top level tags are tags like nt.number-theory and at.algebraic-topology which begin with a two letter code. They roughly follow their arXiv counterparts, from whi...
Let $X$ be a smooth manifold. Then $T^*X$ is canonically a symplectic manifold. Let $\alpha$ denote the canonical one form on $T^*X$ (so in local coordinates, $\alpha=\sum p_i dq_i$). Then the symplectic form is given by $\beta=d\alpha$.
Now suppose we have a free proper action of a Lie group $...
Here are some comments to start off on question 3. Feel free to edit.
What are top level tags, and why should I try to use them?
The top level tags are tags like nt.number-theory and at.algebraic-topology which begin with a two letter code. They roughly follow their arXiv counterparts, from whi...
