I am currently in a little dilemma about publishing a result related to general matching.

The dilemma is, that I am not associated to any research institute and thus do not have contact to professional mathematicians, which I could ask for checking a fairly simple proof for correctness.

So my question is, how and where I could find an expert, who is willing to take a look at my result and proof. Another question is, what convinces professional mathematicians, that a claimed finding is promising enough to volunteer for reviewing despite limited time and some chance to find a fly in the ointment?

(Alternatives might be to either ask the MO community for counter examples or, to boldly publish on ArxiV and awaiting the reaction of readers; but it seems to me that neither of these two alternatives is a nice way of getting a review.)