This position seems very complicated but I think I can keep fighting thanks to my opponents last move which I believe was a mistake. To respond to my peep, either a or b will successfully connect black's stones and c seems playable since it shorts the liberties of the E17 group enough to make the push and cut work. The move my opponent played, a, works because if I cut directly the cutting stone can be captured in a ladder as shown below. Since both a and b connect directly, the question is how much aji does each connection leave behind.
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[go]$$Bcm41
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , c X X O . X . . . . . X X O . |
$$ | . . . X a b . X . . . . . . . . . X . |
$$ | . . O X . O . . . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
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[go]$$Bcm41 Cutting directly fails
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , . X X O . X . . . . . X X O . |
$$ | . . . X 3 6 4 X . . . . . . . . . X . |
$$ | . . O X . O 5 . . . . . . . . . X . . |
$$ | . . O . . 7 . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
With b, the aji left behind is obvious. I get the peep, but that's all I get. Even worse, I can't play at j15 because j16 shorts my liberties enough to make the push and cut work.
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[go]$$Bcm41 Peep aji
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , . X X O . X . . . . . X X O . |
$$ | . . . X . 3 5 X . . . . . . . . . X . |
$$ | . . O X . O 4 . . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
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[go]$$Bcm41 Bad for black
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O 8 O . . . . X X . O O O . |
$$ | . . X , . X X O 7 X . . . . . X X O . |
$$ | . . . X . 3 5 X 6 . . . . . . . . X . |
$$ | . . O X . O 4 . 9 . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
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[go]$$Bcm43 Really bad for black
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . 8 9 . . . . X O O . . . . |
$$ | . . . . O O 7 O . . . . X X . O O O . |
$$ | . . X , . X X O 5 X . . . . . X X O . |
$$ | . . . X . 1 3 X 4 . . . . . . . . X . |
$$ | . . O X . O 2 . 6 . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
Conversely, a leaves behind some interesting aji involving a ko lock. Even though my cutting stone dies, if w plays this way I'm able to set up a potential ko if white decides to block my hane. If he doesn't block if, I'm able to get out and cut off his left group. If he does block, I think I can fight the ko since his only real threats come from my bottom right corner and I can use killing his k17 group as a threat. This is made possible by the fact that g17 is not a threat since b17 allows me to link up or live in the corner.
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[go]$$Bcm41 Ko lock
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , . X X O . X . . . . . X X O . |
$$ | . . . X 3 . 4 X . . . . . . . . . X . |
$$ | . . O X . O 5 6 . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
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[go]$$Bcm41 Ko lock continued
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , . X X O . X . . . . . X X O . |
$$ | . . . X 3 7 4 X 8 . . . . . . . . X . |
$$ | . . O X . O 5 6 . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
Unfortunately, there's no guarantee that w will play this way. I've been reading out some scary variations where he plays d or e instead and allows me to cut him. e seems especially hair raising so I'm hoping he doesn't play that way.
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[go]$$Bcm41 Other responses
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , . X X O e X . . . . . X X O . |
$$ | . . . X 3 . 4 X . . . . . . . . . X . |
$$ | . . O X . O . d . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]
Finally, I'll get to my evaluation of the game at this point. I feel like my greedy play trying to take points on the left hand side with 41 put me slightly behind, but his response at 44 has made me confident that I may be able to mount a comeback. My goal is to finish this encounter in sente and break out into the center making it easy for me to reduce him there. I then hope to get the monkey jump at T6 to further reduce his right side after already reducing his middle. If I'm able to leave this in sente (yes I dream big) I then hope to finish with d2 which will both secure a big corner and undercut any potential black points on the bottom. If I can succeed at this, I think I should be able to win.
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[go]$$Bcm41 Important points for me to secure victory
$$ +---------------------------------------+
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . X O O . . . . |
$$ | . . . . O O . O . . . . X X . O O O . |
$$ | . . X , . X X O . X . . . . . X X O . |
$$ | . . . X 3 . 4 X . . . . . . . . . X . |
$$ | . . O X . O . . . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . a |
$$ | . . . . . . . . . . . . . X . . . . . |
$$ | . . . O . . . . . X . . . . X X X . . |
$$ | . . . . . X . . . . . . . O . O O O . |
$$ | . . . b . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ +---------------------------------------+[/go]