One of my first game after online go school.
The main question here is how to handle tengen invasions.
Any critique is accepted, thank you in advance
i am misspenny
(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2]RU[Japanese]SZ[19]KM[0.50]GN[Mugen555-misspenny-1062551-20160405]PW[Alexandre (Mugen555)]PB[rwe (misspenny)]WR[9k]BR[7k]DT[2016-02-28,2016-04-05]GC[Game ID: 1062551
Game Type: GO (1:1)
Rated: Y
White Start Rating: 9k (-11%) - ELO 1188
Black Start Rating: 10k (0%) - ELO 1100
White End Rating: 9k (+0%) - ELO 1200
Black End Rating: 7k (-32%) - ELO 1367]PC[Dragon Go Server: http://www.dragongoserver.net/]SO[http://www.dragongoserver.net/game.php?gid=1062551]RE[B+31.50]XM[259];B[pd];W[dp];B[pq];W[qo];B[qp];W[po];B[nq];W[qk];B[qm];W[pm];B[ro];W[rn];B[rp];W[qn];B[dc];W[de];B[fd];W[cc];B[cb];W[cd];B[bb];W[ci];B[fq];W[fp];B[ep];W[eq];B[eo];W[dq];B[gp];W[cn];B[fo];W[pf];B[nd];W[ph];B[jd];W[qc];B[qd];W[rd];B[pc];W[qb];B[re];W[rc];B[qe];W[pb];B[ob];W[sb];B[ra];W[sd];B[kp];W[hd];B[hc];W[ic];B[id];W[gc];B[gd];W[hb];B[he];W[jc];B[kd];W[kc];B[lc];W[lb];B[ld];W[mb];B[dj];W[eh];B[fi];W[jj]C[How to handle this kind of move? I made some mistakes trying to capture that central group but eventually I failed and I had to make some sick move to keep my position playable.
Ok weak group is like a fish and I know that it's better to chase instead of kill but...];B[lk]C[trying to cut a way to the influence ];W[li];B[og];W[pg];B[ni];W[ih];B[hi];W[ii];B[kh];W[ki];B[mj];W[hj];B[gj];W[hk];B[jk];W[ik];B[im];W[jl];B[kk];W[il];B[hm];W[gk];B[fk];W[gl];B[fl];W[hh];B[fh];W[lh];B[kg];W[lg];B[lf];W[mf];B[nf];W[kf];B[jf];W[jh];B[ke];W[gi];B[fj];W[gh];B[kn];W[mn];B[km];W[mp];B[mq];W[lp];B[lq];W[er];B[fr];W[ck];B[sh];W[ri];B[si];W[rj];B[rh];W[qh];B[rg];W[fs];B[gs];W[es];B[gr];W[nl];B[cl];W[cj];B[bl];W[dl];B[dm]C[now blac invades];W[dk];B[cm];W[em];B[el];W[ej];B[co];W[do];B[dn];W[cp];B[bo];W[gm];B[fm];W[bp];B[ai];W[bn];B[bh];W[bi];B[aj];W[ei];B[cg]C[I tried to analyze very deep but i couldn't find a way to kill white.];W[dg];B[df];W[ef];B[cf];W[ch];B[bg];W[ed];B[dd];W[ec];B[db];W[ce];B[fg];W[eg];B[fc];W[fb];B[eb];W[ee];B[ae];W[ge];B[hc];W[di];B[gb];W[ib];B[gn];W[ka];B[pj];W[pk];B[oj];W[mg]C[I couldn't belive my eyes];B[qi];W[oe];B[ne];W[oc];B[od]C[now it's easy for black. ];W[nc];B[ln];W[mm];B[kl];W[jm];B[jn];W[se];B[sf];W[mc];B[no];W[mo];B[np];W[nn];B[gf];W[fe];B[qj];W[rk];B[sn];W[sm];B[bc];W[bd];B[bm];W[ao];B[be];W[ad];B[bk];W[jg];B[kf];W[nh];B[oh];W[so];B[sp];W[if];B[ie];W[ga];B[fa];W[ha];B[hf];W[ig];B[ng];W[mh];B[ok];W[ol];B[oo];W[on];B[pp];W[lo];B[ko];W[nk];B[nj];W[am];B[al];W[ac];B[ab];W[me];B[md];W[sj];B[bj];W[kj];B[sn];W[qf];B[rf];W[so];B[an];W[sn];B[am];W[];B[];W[]TW[ia][ja][la][ma][na][oa][pa][qa][ra][sa][jb][kb][nb][ob][rb][sc]
[dh][hi][ji][dj][ij][sk][pl][ql][rl][sl][nm][om][qm][rm][pn][bo]
[co][ap][aq][bq][cq][ar][br][cr][dr][as][bs][cs][ds]TB[aa][ba][ca][da][ea][fb][gc][hd][je][oe][pe][af][bf][of][pf][qf]
[ag][pg][qg][sg][ah][ph][qh][oi][pi][ak][em][en][fn][hn][in][go]
[ho][io][jo][fp][hp][ip][jp][op][gq][hq][iq][jq][kq][oq][qq][rq]
[sq][hr][ir][jr][kr][lr][mr][nr][or][pr][qr][rr][sr][hs][is][js]
[ks][ls][ms][ns][os][ps][qs][rs][ss]C[White: 42 territories + 2*3 dead stones(B) + 7 prisoners + 0.5 komi = 55.5
Black: 66 territories + 2*7 dead stones(W) + 7 prisoners = 87
Result: B+31.5])
Game Type: GO (1:1)
Rated: Y
White Start Rating: 9k (-11%) - ELO 1188
Black Start Rating: 10k (0%) - ELO 1100
White End Rating: 9k (+0%) - ELO 1200
Black End Rating: 7k (-32%) - ELO 1367]PC[Dragon Go Server: http://www.dragongoserver.net/]SO[http://www.dragongoserver.net/game.php?gid=1062551]RE[B+31.50]XM[259];B[pd];W[dp];B[pq];W[qo];B[qp];W[po];B[nq];W[qk];B[qm];W[pm];B[ro];W[rn];B[rp];W[qn];B[dc];W[de];B[fd];W[cc];B[cb];W[cd];B[bb];W[ci];B[fq];W[fp];B[ep];W[eq];B[eo];W[dq];B[gp];W[cn];B[fo];W[pf];B[nd];W[ph];B[jd];W[qc];B[qd];W[rd];B[pc];W[qb];B[re];W[rc];B[qe];W[pb];B[ob];W[sb];B[ra];W[sd];B[kp];W[hd];B[hc];W[ic];B[id];W[gc];B[gd];W[hb];B[he];W[jc];B[kd];W[kc];B[lc];W[lb];B[ld];W[mb];B[dj];W[eh];B[fi];W[jj]C[How to handle this kind of move? I made some mistakes trying to capture that central group but eventually I failed and I had to make some sick move to keep my position playable.
Ok weak group is like a fish and I know that it's better to chase instead of kill but...];B[lk]C[trying to cut a way to the influence ];W[li];B[og];W[pg];B[ni];W[ih];B[hi];W[ii];B[kh];W[ki];B[mj];W[hj];B[gj];W[hk];B[jk];W[ik];B[im];W[jl];B[kk];W[il];B[hm];W[gk];B[fk];W[gl];B[fl];W[hh];B[fh];W[lh];B[kg];W[lg];B[lf];W[mf];B[nf];W[kf];B[jf];W[jh];B[ke];W[gi];B[fj];W[gh];B[kn];W[mn];B[km];W[mp];B[mq];W[lp];B[lq];W[er];B[fr];W[ck];B[sh];W[ri];B[si];W[rj];B[rh];W[qh];B[rg];W[fs];B[gs];W[es];B[gr];W[nl];B[cl];W[cj];B[bl];W[dl];B[dm]C[now blac invades];W[dk];B[cm];W[em];B[el];W[ej];B[co];W[do];B[dn];W[cp];B[bo];W[gm];B[fm];W[bp];B[ai];W[bn];B[bh];W[bi];B[aj];W[ei];B[cg]C[I tried to analyze very deep but i couldn't find a way to kill white.];W[dg];B[df];W[ef];B[cf];W[ch];B[bg];W[ed];B[dd];W[ec];B[db];W[ce];B[fg];W[eg];B[fc];W[fb];B[eb];W[ee];B[ae];W[ge];B[hc];W[di];B[gb];W[ib];B[gn];W[ka];B[pj];W[pk];B[oj];W[mg]C[I couldn't belive my eyes];B[qi];W[oe];B[ne];W[oc];B[od]C[now it's easy for black. ];W[nc];B[ln];W[mm];B[kl];W[jm];B[jn];W[se];B[sf];W[mc];B[no];W[mo];B[np];W[nn];B[gf];W[fe];B[qj];W[rk];B[sn];W[sm];B[bc];W[bd];B[bm];W[ao];B[be];W[ad];B[bk];W[jg];B[kf];W[nh];B[oh];W[so];B[sp];W[if];B[ie];W[ga];B[fa];W[ha];B[hf];W[ig];B[ng];W[mh];B[ok];W[ol];B[oo];W[on];B[pp];W[lo];B[ko];W[nk];B[nj];W[am];B[al];W[ac];B[ab];W[me];B[md];W[sj];B[bj];W[kj];B[sn];W[qf];B[rf];W[so];B[an];W[sn];B[am];W[];B[];W[]TW[ia][ja][la][ma][na][oa][pa][qa][ra][sa][jb][kb][nb][ob][rb][sc]
[dh][hi][ji][dj][ij][sk][pl][ql][rl][sl][nm][om][qm][rm][pn][bo]
[co][ap][aq][bq][cq][ar][br][cr][dr][as][bs][cs][ds]TB[aa][ba][ca][da][ea][fb][gc][hd][je][oe][pe][af][bf][of][pf][qf]
[ag][pg][qg][sg][ah][ph][qh][oi][pi][ak][em][en][fn][hn][in][go]
[ho][io][jo][fp][hp][ip][jp][op][gq][hq][iq][jq][kq][oq][qq][rq]
[sq][hr][ir][jr][kr][lr][mr][nr][or][pr][qr][rr][sr][hs][is][js]
[ks][ls][ms][ns][os][ps][qs][rs][ss]C[White: 42 territories + 2*3 dead stones(B) + 7 prisoners + 0.5 komi = 55.5
Black: 66 territories + 2*7 dead stones(W) + 7 prisoners = 87
Result: B+31.5])
Not a big deal, but tiger mouth connection (at R14) looks better. Your move makes bad shape (empty triangle). Later you can go deeper in white's territory.
You should omit this move ; it doesn't have any purpose. You should be able to read the tsumego in advance.
I think this is a bad move. You give white a lot of territory and your connection isn't very good (imagine white E17 after the sequence). You can either attack white (for example F14) or defend one side (I like K17). Your top left group should be able to live by himself.
Given white's strength at the right, it is hard to call this an invasion. It looks like a reduction that's a bit too deep, so I agree with your idea that you have to play behind it. You have to options to consider: attack directly like you did (althought I find L10 more natural), or lean on the other group (for example P10 threatening R10). Generally speaking you should lean if you don't see a successful attack without it.
Leaning is the idea. But here your threat is really small. White should give up his stone without regret. When you lean, it is important that your follow-up is scary for the opponent.
why do you play hane instead of going straight? You are helping white by pushing towards his own stones, and you leave a cut. I suggest going straight at L14.