9x9 game. Black should have won?

[Wanderling]

Please analyze this 9x9 game I played last night.

[Wanderling]

I (black) resigned.

I'm open to suggestions for every move, especially how to play after move 9.

I thought white should cut at 31 and black should connect at 37.

[amnal]

43 should be at E1. Try playing it out. You should find that you can simply win the capturing race.

[Dusk Eagle]

Reposting here so others can view easily.

http://lifein19x19.com/forum/download/file.php?id=1471

[Wanderling]

Thanks Dusk Eagle.
Thanks amnal-- That confirms my idea that B37 is fine and black can allow the cut. Is connect better than B37?
Any improvements to the way I played before that?

[amnal]

(;GM[1]FF[4]AP[qGo:1.5.4]ST[2]
SZ[9]HA[0]KM[0]PW[White]PB[Black]
CA[UTF-8]RU[Japanese]
;B[ee];W[df];B[ef];W[dg];B[eg];W[fd];B[ed];W[fc];B[ec];W[eh]
(
;B[ch]C[Seems bad, it leaves white with miai of G3 area and C5 area to live.

See variation.]
;W[dh]
;B[gf]C[This seems like not an important point. G5 is a better shape point with the white stones.]
;W[gg]
(
;B[fg]C[Unnecessary empty triangle of doom. He is most obvious to me, but even just G5 is better than your move. By not playing F3 and letting white connect, you leave open the possibility of F2 later.]
;W[gh];B[fh];W[fi];B[ge];W[eb];B[db];W[fb];B[ce];W[cc];B[cb]
;W[bc]
(
;B[cg]C[A good idea, but leaves the weakness at D7. Perhaps the easiest way is to play D7 yourself, and take miai of B3 and H7.]
;W[cf];B[bf];W[de];B[be];W[dd];B[dc];W[cd];B[hc];W[fe];B[hg]C[Probably actually bad, because white can just play H2 and seems to have miai of H4 and F4.

Connecting to the peep is fine, I think.]
(
;W[ff];B[bb];W[ab];B[hh];W[gi]
(
;B[hi]C[Should be E1, as previously discussed.]
;W[ei];B[bd];W[ad]
)
(
;B[ei];W[di];B[hi];W[ei];B[ci]C[Black wins.]
)
)
(
;W[hh]
)
)
(
;B[dc];W[de];B[cd];W[dd];B[bb]
(
;W[cg]
)
(
;W[cf];B[bd];W[be];B[ac]C[Black retains miai.]
)
)
)
(
;B[ge];W[hd]
)
)
(
;B[fh];W[dh];B[ge]C[This way aims at C5, even if white lives in the top right.]
)
)

A few comments. Take with some delicious salt, I have no idea if these things are the most important, though they're probably accurate.

Also, I'm not sure if you noticed, but your bottom left shape was not alive for several moves. White B2 would just kill easily.

[Dusk Eagle]

I've added several comments to your game (I haven't looked at amnal's review yet, so our thoughts are completely independent of each other's). Toward the end things get deliciously complex, as all good 9x9 games should, but I've tried to cover a few variations there, even though I'm not sure about the answers .

http://lifein19x19.com/forum/download/file.php?id=1472

[Wanderling]

I've added several comments to your game (I haven't looked at amnal's review yet, so our thoughts are completely independent of each other's). Toward the end things get deliciously complex, as all good 9x9 games should, but I've tried to cover a few variations there, even though I'm not sure about the answers .

http://lifein19x19.com/forum/download/file.php?id=1472

I like your B5 also.
Your B15 is much better.
The idea behind your B25 variation would be to give up the two stones on top? Do you think C8 is correct?
Question for both of you: What about B35 at A2 instead?