My previous post isn't very detailed. This is an important juncture in the game. It seems like it's important to explain what I am thinking here, not just for the benefit of weaker players, but so that later on stronger players can point out possible flaws in my reasoning. A couple extra diagrams in this post, bear with me.

In a crosscut fight, the majority of situations call for extending from one of your stones. The idea is to threaten a ladder in some direction with the justification that your opponent will have to respond to save the threatened stone.
In this case, though, there doesn't seem to be any definitely good way for me to threaten a ladder:
- Click Here To Show Diagram Code
[go]$$Bcm31 Ridiculously detailed diagram
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . b . . . . . . . . . . |
$$ | . . g . . Z . 6 X a . . Y O O O O e . |
$$ | . . . @ . . c X O , . . Y f Y O Y O . |
$$ | . . . . . . . d . . . . . . Y Y Y Y . |
$$ | . . . @ . @ . @ . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . O . . |
$$ | . . X . X . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . , . . . . . , . . . |
$$ | . . O . . . . . . . . . . . . Q . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . X . . . X . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
It's easy to eliminate d as an option, as I'm just butting my stone against White's strong

stones. That still leaves us with 3 other possibilities (all much better than d, in my opinion).
What does each of the remaing 3 "typical" crosscut answers mean for the game? A brief discussion on my feelings of the three moves before I go too deep:
a) This move jumps out at me to be considered first. Already there's a flaw in playing a, since White is already set up with a ladder breaker

so he doesn't have to immediately save that stone. However, it does try to keep at least partially attached to the

group ... which still has a flaw at f where white can push-cut ... thouh Black can make a bit of room with e ... I need to watch out for the

group carefully, as it could spell disaster if I mismanage it.
EDIT: I found a working "ladder"! (not a true ladder, but a secure capture nonetheless). If White does not defend, I can capture the stone in the following manner:b) This move doesn't feel right to me. I don't see any advantage to it over playing a ... and a feels like a more natural response.
c) This also looks interesting, but allows White to play at a himself, forcing me to capture

... and breaking into the top side easily. I don't think I'll play this move. I'm not so worried about the

stone because I can still jump into the corner at g with great effect.
Alright, if I decide I'm going to extend from a stone, I will likely play at a. Both b and c allow White to too easily reduce the top.
I could also atari one of the crosscut stones, if I can find a benefit to doing so. I won't look at that until after I look more deeply at a to see what options it gives White.
EDIT: With the newfound capture, a makes even more sense, and atari is looking less and less desirable.Let's suppose I play a for

...
- Click Here To Show Diagram Code
[go]$$Bcm31 Prisoner Count: B-0 W-0
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . b . . . . . . . . . . . |
$$ | . . g . . X d 6 X 7 . . X O O O O . . |
$$ | . . . O . . a X O , . . X . X O X O . |
$$ | . . . . . . . c . . . . . . X X X X . |
$$ | . . . O . O . O . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . O . . |
$$ | . . X . X . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . , . . . . . , . . . |
$$ | . . O . . . . . . . . . . . . O . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . X . . . X . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
While reviewing what I had already written, I added d almost as an afterthought. However, a little reading shows that d breaks the "ladder" capture I found above
and it provides safety for

. I'm not sure if Kirby sees it, but I have to assume if I can read it out, so can my opponent.
Before considering d, I was looking at a and b as miai, and c as a possible (but inferior) option for White to play.
a) If White plays at a, I can connect underneath at b. White may play this way in order to gain the maximum reduction to the Black area up top. White becomes thick and can next turn to attack my weak group. One slight disadvantage is that the corner at g is still open to invade.
b) Now that I look at it, I don't think White has the option of playing b himself. I think such a move will just die.
c) This move concedes the entire top to Black with no fight. I somehow doubt White will play this way.
After that brief look, I think White's only options are a and d. I'm well prepared for a ... d needs a better look.
- Click Here To Show Diagram Code
[go]$$Bcm31 Prisoner Count: B-0 W-0
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X 8 6 X 7 . . X O O O O . . |
$$ | . . . O . . . X O , . . X . X O X O . |
$$ | . . . . . . . . . . . . . . X X X X . |
$$ | . . . O . O . O . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . O . . |
$$ | . . X . X . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . , . . . . . , . . . |
$$ | . . O . . . . . . . . . . . . O . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . X . . . X . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
This move looks to me to be very sharp, and if this is what Kirby has in mind, I applaud him for finding it. I can't just cover the two stones and expect to kill them because he can escape:
- Click Here To Show Diagram Code
[go]$$Bcm1 Prisoner Count: B-0 W-0
$$ ---------------------------------------
$$ | . . . . . 7 . . . . . . . . . . . . . |
$$ | . . . . 5 2 3 4 . . . . . . . . . . . |
$$ | . . . . . X W W X B . . X O O O O . . |
$$ | . . . O . 6 1 X O , . . X . X O X O . |
$$ | . . . . . . 8 . . . . . . . X X X X . |
$$ | . . . O . O . O . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . O . . |
$$ | . . X . X . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . , . . . . . , . . . |
$$ | . . O . . . . . . . . . . . . O . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . X . . . X . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
This reduces the top even further than a move at a, so it would be foolhardy to walk into such a sequence. I'm not sure what my best sequence would be in this case. I need more time to think.