3-3 Point Invasion which peeps at the tiger's mouth

The opening  

is usually played to keep sente. Sooner or later White plays , which is usually gote but which has a large follow-up.

The invasion  

[1] Black can connect at a or resist at b.

In a small sample (3) the pro always connects.

Connection & cut  

Black can also cut White off with here instead of in the diagram above, but then White can live.

Variation  

Taking the corner by attempting the cut with is usually too painful for Black.

Resistance  

The question is whether Black can resist.

Refutation  

This way, White wins by one liberty.

Crawl OK  

If Black tries to use the special properties of the corner by playing at the 1-2 point, the crawl at suffices. Black's attempts to smother White with - fail.

Refutation  

would be a mistake. White loses a liberty.

unkx80: Doesn't at a win the capturing race?

fractic: I think so too. Also while White does indeed have one liberty less, she does have sente. In the earlier diagram she had one more liberty but Black had sente.

Possible Follow-up ( takes ko)  

Then again, I did find a refutation for White for avoiding the ko...