000 | 02657nam a22004815i 4500 | ||
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001 | 978-3-540-46171-5 | ||
003 | DE-He213 | ||
005 | 20160624101822.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540461715 _9978-3-540-46171-5 |
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024 | 7 |
_a10.1007/BFb0089031 _2doi |
|
050 | 4 | _aQA613-613.8 | |
050 | 4 | _aQA613.6-613.66 | |
072 | 7 |
_aPBMS _2bicssc |
|
072 | 7 |
_aPBPH _2bicssc |
|
072 | 7 |
_aMAT038000 _2bisacsh |
|
082 | 0 | 4 |
_a514.34 _223 |
100 | 1 |
_aKirby, Robion C. _eauthor. |
|
245 | 1 | 4 |
_aThe Topology of 4-Manifolds _h[electronic resource] / _cby Robion C. Kirby. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1989. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1989. |
|
300 |
_aVIII, 112 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1374 |
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505 | 0 | _aHandlebodies and framed links -- Intersection forms -- Classification theorems -- Spin structures -- T Lie 3 and -- Immersing 4-manifolds in R 6 -- 3-Manifolds; a digression -- Bounding 5-manifolds -- p 1(M) = 3?(M), ? 4 so = Z and ? 4 spin = Z -- Wall's diffeomorphisms and H-cobordism -- Rohlin's theorem -- Casson handles -- Freedman's work -- Exotic R 4's. | |
520 | _aThis book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds. | ||
650 | 0 | _aMathematics. | |
650 | 0 |
_aCell aggregation _xMathematics. |
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650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aManifolds and Cell Complexes (incl. Diff.Topology). |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540511489 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1374 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0089031 |
942 |
_2EBK1390 _cEBK |
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999 |
_c30684 _d30684 |