Bordered Manifolds with Torus Boundary and the Link Surgery Formula

This book is published open access.

	Front matterDownload pp. i–iv
	AbstractDownload p. v
	ContentsDownload pp. vii–x
1	IntroductionDownload pp. 1–10
2	Hypercubes and Heegard Floer homologyDownload pp. 11–22
3	$A_{\infty}$ -modulesDownload pp. 23–39
4	Homological perturbation theoryDownload pp. 41–46
5	Linear topological spacesDownload pp. 47–61
6	The link surgery formulaDownload pp. 63–72
7	The knot surgery algebraDownload pp. 73–86
8	Link surgery modules over $K$ and $L$ Download pp. 87–98
9	$σ$ -basic system of Heegard diagramsDownload pp. 99–109
10	Hypercubes and disjoint unionsDownload pp. 111–119
11	Hypercubes and connected sumsDownload pp. 121–141
12	The pairing theoremDownload pp. 143–148
13	Arc systems and the link surgery formulaDownload pp. 149–183
14	The alpha-beta transformerDownload pp. 185–192
15	The pair-of-pants bimodulesDownload pp. 193–201
16	The link surgery complex of the Hopf linkDownload pp. 203–215
17	Minimal models for the Hopf link surgery complexDownload pp. 217–232
18	Examples and basic propertiesDownload pp. 233–249
A	Splicing operationsDownload pp. 251–252
	ReferencesDownload pp. 253–255