Normally, playing into the hane around the head of two stones is a bad thing shape-wise, although there are common josekis that do it explicitly (for example, involving contacting the high approach to a 3-4 stone). So, why here? Well, I've just taken the key shape point locally. If I hane:
$$Bcm11 Prisoner Count: B-0 W-0
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$$ | . . . O . O . . . , . . . . X , X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . X X . . . . . . . . . . . . . . . |
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$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . 7 a . . . . . , . . . . . , O . . |
$$ | . . O 5 . . . . . . . . . . . . . . . |
$$ | . . . 6 . . . . . . . . . . . . . . . |
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$$ | . . O . . . . . . . . . . . . . . . . |
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$$ | . . X , . . . . . , . . . . . , . . . |
$$ | . . . . X . . . . . . . . . . . . . . |
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- Click Here To Show Diagram Code
[go]$$Bcm11 Prisoner Count: B-0 W-0
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$$ | . . X X . . . . . . . . . . . . . . . |
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$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . 7 a . . . . . , . . . . . , O . . |
$$ | . . O 5 . . . . . . . . . . . . . . . |
$$ | . . . 6 . . . . . . . . . . . . . . . |
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$$ | . . X , . . . . . , . . . . . , . . . |
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$$ ---------------------------------------[/go]
The cut at "a" is very hard to make work, and White simply must defend his position, allowing Black to force White on the outside and keep sente. White's eyespace here is very low, and is still not settled, so the potential for long term discomfort is high. If I extend (normally a good way of keeping sente), this shape point is still upsettingly good for Black, fixing his group and leaving White without two clear eyes. I could continue my hane as follows:
$$Bcm11 Prisoner Count: B-0 W-0
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$$ | . . . O . O . . . , . . . . X , X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . X X . . . . . . . . . . . . . . . |
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$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . 7 9 . . . . . , . . . . . , O . . |
$$ | . . O 5 8 . . . . . . . . . . . . . . |
$$ | . . a 6 b . . . . . . . . . . . . . . |
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$$ | . . X , . . . . . , . . . . . , . . . |
$$ | . . . . X . . . . . . . . . . . . . . |
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- Click Here To Show Diagram Code
[go]$$Bcm11 Prisoner Count: B-0 W-0
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$$ | . . X X . . . . . . . . . . . . . . . |
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$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . 7 9 . . . . . , . . . . . , O . . |
$$ | . . O 5 8 . . . . . . . . . . . . . . |
$$ | . . a 6 b . . . . . . . . . . . . . . |
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$$ | . . O . . . . . . . . . . . . . . . . |
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But here, neither "a" nor "b" are satisfying. The outside influence from "b" doesn't seem to have anywhere to go, and the loss of allowing Black that cut is quite large. Likewise, White connecting at "a" is overconcentrated and I'm not convinced two eyes are formed, let alone the annoyance of Black being able to cut strongly at "b" himself.
So, instead, I opt for a sequence that settles my group completely and undermines his base:
$$Bcm11 Prisoner Count: B-0 W-0
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$$ | . . . O . O . . . , . . . . X , X . . |
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$$ | . . X X . . . . . . . . . . . . . . . |
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$$ | . b 9 . . . . . . . . . . . . . . . . |
$$ | . 8 X . . . . . . . . . . . . . . . . |
$$ | . . 6 7 . . . . . , . . . . . , O . . |
$$ | . . O 5 . . . . . . . . . . . . . . . |
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$$ | . . . . . a . . . . . . . . . . . . . |
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- Click Here To Show Diagram Code
[go]$$Bcm11 Prisoner Count: B-0 W-0
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$$ | . . . O . O . . . , . . . . X , X . . |
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$$ | . . X X . . . . . . . . . . . . . . . |
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$$ | . b 9 . . . . . . . . . . . . . . . . |
$$ | . 8 X . . . . . . . . . . . . . . . . |
$$ | . . 6 7 . . . . . , . . . . . , O . . |
$$ | . . O 5 . . . . . . . . . . . . . . . |
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$$ | . . . . . a . . . . . . . . . . . . . |
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$$ | . . X , . . . . . , . . . . . , . . . |
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Now it is relatively hard for Black to seal that group in, and impossible to do so in sente. "a" will be a big move potentially depending on what happens on the bottom edge, and "b" isn't tiny either as it is sente for Black due to my group stability. That's not to say I'd respond locally. If Black plays immediately at "b", I'd respond with "a", but it is still something that has reasonable enough value. The problem is, I need to avoid reductions like this:
$$Wcm50 Prisoner Count: B-0 W-0
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$$ | 9 . . . . . . . . . . . . . . . . . . |
$$ | 8 7 . . . . . . . . . . . . . . . . . |
$$ | 6 5 . O . O . . . , . . . . X , X . . |
$$ | 0 4 O . . . . . . . . . . . . . . . . |
$$ | . . X X . . . . . . . . . . . . . . . |
$$ | . 2 . . . . . . . . . . . . . . . . . |
$$ | . 1 X . . . . . . . . . . . . . . . . |
$$ | . O X . . . . . . . . . . . . . . . . |
$$ | . . O X . . . . . , . . . . . , O . . |
$$ | . . O X . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
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$$ | . . O . . . . . . . . . . . . . . . . |
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$$ | . . X , . . . . . , . . . . . , . . . |
$$ | . . . . X . . . . . . . . . . . . . . |
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- Click Here To Show Diagram Code
[go]$$Wcm50 Prisoner Count: B-0 W-0
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$$ | 9 . . . . . . . . . . . . . . . . . . |
$$ | 8 7 . . . . . . . . . . . . . . . . . |
$$ | 6 5 . O . O . . . , . . . . X , X . . |
$$ | 0 4 O . . . . . . . . . . . . . . . . |
$$ | . . X X . . . . . . . . . . . . . . . |
$$ | . 2 . . . . . . . . . . . . . . . . . |
$$ | . 1 X . . . . . . . . . . . . . . . . |
$$ | . O X . . . . . . . . . . . . . . . . |
$$ | . . O X . . . . . , . . . . . , O . . |
$$ | . . O X . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
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$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . X , . . . . . , . . . . . , . . . |
$$ | . . . . X . . . . . . . . . . . . . . |
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$$ ---------------------------------------[/go]
As a result, I'm reluctant to play "b" at all if I can avoid it, which in turn makes playing "a" earlier on that little bit larger.