Teichmüller Theory And Applications To Geometry, Topology, And Dynamics. Volume 1 Teichmüller Theory

484 Pages·2006·30.829 MB·English

by  John H. Hubbard

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Contents
FOREWORDb yW illTihaumr ston xi
FOREWORDt ov olu1m bey C liffEoarrdl e xv
PREFACE xvi
CHAPTE1R Theu niformiztahetoiroenm
1.1Tw sot ateomtfeh unent isfo rmtihzeaotrieomn 1
1.2Sb uharmaonhndai rcm fuonncitci ons 3
1.3R a'dtosh eorem 6
14. Ane xhauosft ion 10
X
1.5G re'fuesnn ctions 14
1.6Sm iplcyo nnceocmtpepadic etc es 15
1.7P roooTffh eo1r.2e1 m. 16
1.8Afi rcslta ssoiRffii ceamtsaiunornnfa ces 17
CHAPTE2R Planeh yeprbogleiocm etry
2.1T hhepy rebolic metric 23
2.2C urvoacftou nrfoemr emtarli cs 31
2.3C naoeiitnnh ghep y reboplliacn e 37
2.4T hhepy rebomloodiaednlh dp y rebotlriicg onomet4r8y
CHAPTE3R Hyperbgoeloimce otfrR yi emasnunr cfaes
3.1Fu chsgiraonu ps 59
3.2T hcel assoiaffin cnautliio n 62
3.3T hhey eprbmoeltiorcnai h cpy erlbiRoci emsaunrnf ace6 9
3.4L imsieattn std h ceo ncvoeorxafe h pyeorlbRiice msaunrnf 7a5c e
3.5Tr ousers 78
3.6Tr ousdeerc omposition 84
3.7L imsieattn sid d beuaonld aries 87
3.8T hceo lltahreionrge m 89
3.9Fu ndamednotmaali ns 95
vii
CHAPETR4 Quaisconfoarlm maapnsdt hmea ppitnhego rem
4.1T waon aldyetfiinci tions 111
4.2S ooblsepva acnetdsh J ea cofobrimaunl a 117
4.3A nnaunlqdiu asicmoanpfosr mal 142
4.4N orfammaillo qifue ass icmoanpfoprimnagls 192
4.5G eomcehtarriacc toeqfru iazsaitcimooannpfossr mal1 34
4.6T hmea pptihnego rem 149
4.7D eepndeonnpc aer ameters 153
4.8B eltforramamsnic d o mpslterxu ctures 157
4.9B ounvdaalrouyqfe u sa sicmoanpfosr mal 107
CHAPTE5R P relimintaoTr eiiecsh miitlheloerry
5.1T hDeo uady-Earle extension 148
5.2H olommoortpihaoinSncdlds ok o'wtsshk eiorem 149
5.3T eichemxi.itlrlmeeamrpa sl 207
5.4S pcaeosqf u addriaffteirce ntials 220
CHAPETR6 Teichmiislplaecre s
6.1u asicosnuforrfmaacle s 235
6.2FQ amiolRfii eesms aunrnfa ces 239
6.3T hSec hwadrezriiavna tive 245
6.4T eichsmpi.ialcleesr 254
6.5A nalsyttriuoccTf te uirceh smpi.ialcleesr 262
6.6T angsepnaatcn eFdsi nsler metrics 266
67. Teichsmpi.ialaclrceeeosr n tractible 273
6.8T huen ivceurrasvnatedlh u en ivperrospaelr ty 247
6.9T hBee firbsse pra ce 284
60. 1ThKeo ybaasmheito rnTi eci chsmpi.ialclee r 287
6.1T1hBe e ermseb ddiiosnp ge n 290
6.1S2i multuanniefoorumasin zqdau taisoin-g Furcohuspisa2 n9 3
CHAPTE7R G eometorfyfi niedt-iemnisonTaeilc hmiislplaecre s
7.1F inite-Tdeiimcehnsmspi.iialoclneeasrl 299
7.2T eiceh'rmtsi.ih lelorem 301
7.3T hMeu mfocrodm patchtenoersesm 302
7.4R odye'ntsh eoornae umt omoorTfpie hcihsmmsi.ispl alceer3s 0 7
7.5S ectoitfoh unens i vTeeriscahlcm ui.irlvlee r 317
7.6F encNhieecllo-soertnde oisnTn eaichsmpi.ialclee r 320
viii