Formatting of \bigwedge in display math mode

I posted an answer on math.se here and in there I used double dollar mode. Now in that mode, I had

\bigwedge^ \hspace{1mm} k V

but upon rendering it looks weird like

How can I bring the k closer to the big wedge so that it looks more normal like in single dollar mode? In single dollar mode, we have $\bigwedge^k V$ looking a lot more natural.

-
Does this concern a document printed with TeX, LaTeX, ConTeXt or just MathJax? – egreg Oct 12 '12 at 22:45
@egreg I am not sure, on math.se it is printed with MathJax but when I type up latex documents I get the same problem too, so it's probably a latex wide problem. – BenjaLim Oct 12 '12 at 22:46
You should never use $$in LaTeX; probably $\bigwedge\nolimits^{\!k}V$ is what you're looking for. – egreg Oct 12 '12 at 22:48 Recall that MathJax (used in Math.SE) is not LaTeX, while it uses some of its conventions. – egreg Oct 12 '12 at 22:53 @BenjaLim: See Why is $…$ preferable to$$? – Werner Oct 12 '12 at 22:59

Choose one among the following inputs, in LaTeX:

$\bigwedge^k V$

$\bigwedge\nolimits^k V$

$\bigwedge\nolimits^{\!k} V$

The respective results are shown below

The first is widely used, the second appears faulty. The command \! inserts a small backspacing.

Why not using $$in LaTeX is explained here: Why is $...$ preferable to$$?

-

did you try the following?

\newcommand{\mybigwedge}[1]{\bigwedge^{\kern{-3pt}#1}}

(where the -3 can be fine tuned to your taste)

-