000 02787nam a22004815i 4500
001 978-3-540-46171-5
003 DE-He213
005 20190213151324.0
007 cr nn 008mamaa
008 121227s1989 gw | s |||| 0|eng d
020 _a9783540461715
_9978-3-540-46171-5
024 7 _a10.1007/BFb0089031
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBMS
_2thema
072 7 _aPBPH
_2thema
082 0 4 _a514.34
_223
100 1 _aKirby, Robion C.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Topology of 4-Manifolds
_h[electronic resource] /
_cby Robion C. Kirby.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1989.
300 _aVIII, 112 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNankai Institute of Mathematics, Tianjin, P.R. China ;
_v1374
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 There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions.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 _aCell aggregation
_xMathematics.
650 1 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662162743
776 0 8 _iPrinted edition:
_z9783540511489
830 0 _aNankai Institute of Mathematics, Tianjin, P.R. China ;
_v1374
856 4 0 _uhttps://doi.org/10.1007/BFb0089031
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10271
_d10271