Geometrisation of 3-Manifolds

BooksetmMonograph

A subscription is required to access this book.

	FrontmatterDownload pp. i–iv
	PrefaceDownload pp. v–vi
	ContentsDownload pp. vii–x
1	The Geometrisation Conjecturepp. 1–22
	Part I Ricci flow with bubbling-off: definitions and statementsp. 23
2	Basic definitionspp. 25–30
3	Piecing together necks and capspp. 31–36
4	$κ$ -noncollapsing, canonical geometry and pinchingpp. 37–45
5	Ricci flow with $(r, δ, κ)$ -bubbling-offpp. 46–56
	Part II Ricci flow with bubbling-off: existencepp. 57–58
6	Choosing cutoff parameterspp. 59–74
7	Metric surgery and proof of Proposition App. 75–87
8	Persistencepp. 88–96
9	Canonical neighbourhoods and the proof of Proposition Bpp. 97–107
10	$κ$ -noncollapsing and the proof of Proposition Cpp. 108–129
	Part III Long-time behaviour of Ricci flow with bubbling-offpp. 131–132
11	The thin-thick decomposition theorempp. 133–145
12	Refined estimates for long-time behaviourpp. 146–175
	Part IV Weak collapsing and hyperbolisationpp. 177–178
13	Collapsing, simplicial volume and strategy of proofpp. 179–187
14	Proof of the weak collapsing theorempp. 188–206
15	A rough classification of 3-manifoldspp. 207–208
A	3-manifold topologypp. 209–212
B	Comparison geometrypp. 213–216
C	Ricci flowpp. 217–220
D	Alexandrov spacesp. 221
E	A sufficient condition for hyperbolicitypp. 222–223
	Bibliographypp. 225–233
	Indexpp. 235–237