Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y...

5
Indexstifty C complex define Ccp Chair complex Cfpn Cntp Gohan complex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y G exHY XXI u Y CX X I og Frat III e I I I I exuy a it Taff Kunti

Transcript of Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y...

Page 1: Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y G exHY XXI u Y CX X I Frat og III e I I I I exuy a it Taff Kunti. Ddi let fiB C

Indexstifty

C complex define Ccp

Chaircomplex Cfpn Cntp

Gohan complex Cfp en p

Maffiycanes

Canee I Meppycoe

0

eso

f y G exHYXXI u Y CX X I

ogFratIII e I I

I I exuy

a it Taff Kunti

Page 2: Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y G exHY XXI u Y CX X I Frat og III e I I I I exuy a it Taff Kunti. Ddi let fiB C

Dd i let fi B C mapof chain complexes

conelf to bethe complex al

candf a Butach w Nbd l 224 fess

Ba Id B n z

III all a HotCn Cn i

d

Remaikinelaeexactseal

o C caretf B C 1 o

ten in associated LES fr th the

boundary map HnlC Hm4,3113

Hnl BHuff

Page 3: Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y G exHY XXI u Y CX X I Frat og III e I I I I exuy a it Taff Kunti. Ddi let fiB C

b

Pfi Bn X bT Bn s

Bn 2Cn i A Bn 2

I is

Inparticulari f is a g isom Hn connect0all h

i e coneff

acyclic

Back tobalancingfor i ext

Gen A e M.dk Berthed

Chaar yr jresolutions PRA i Q fr B

P PoE A

Page 4: Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y G exHY XXI u Y CX X I Frat og III e I I I I exuy a it Taff Kunti. Ddi let fiB C

Consider A Q Pa B tot Pa Q

IA 7113 Lnl AB A11

Hn A Q HalPaB

Gaal show that ulnae

E isms

A QQ TotCPQA

iPQBA

aqc.o.fi i it

tAGQ Po Qo P GQo

Big doublecomplex w Aaa all C

Pa Q

Page 5: Gohan complex - dkrashen.github.io · Gohancomplex Cfp en p Maffiycanes Canee I Meppycoe 0 e so f y G exHY XXI u Y CX X I Frat og III e I I I I exuy a it Taff Kunti. Ddi let fiB C

Claim Tofte I cane ToHPaQ AaQ

TotlPGQJn ptfg.nl p0QgHy

p.qTotlPaQAaQ u

MG if p1 0

A Qu e aypo

Totti G nTot Paola z

6 Le 6

A Qin A Qu i

ae i Qo 0lAaQn Ddy I