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100   $a20140830h19961996  uy             0
101 0 $aeng
135   $aur|nu---|u||u
181   $ctxt
182   $cc
183   $acr
200 10$aGlobal surgery formula for the Casson-Walker invariant /$fby Christine Lescop
210  1$aPrinceton, New Jersey :$cPrinceton University Press,$d1996.
210  4$dİ1996
215   $a1 online resource (156 p.)
225 1 $aAnnals of Mathematics Studies ;$vNumber 10
300   $aDescription based upon print version of record.
311 0 $a1-322-06320-6 
311 0 $a0-691-02132-5 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tTable of contents --$tChapter 1. Introduction and statements of the results --$tChapter 2. The Alexander series of a link in a rational homology sphere and some of its properties --$tChapter 3. Invariance of the surgery formula under a twist homeomorphism --$tChapter 4. The formula for surgeries starting from rational homology spheres --$tChapter 5. The invariant A. for 3-manifolds with nonzero rank --$tChapter 6. Applications and variants of the surgery formula --$tAppendix. More about the Alexander series --$tBibliography --$tIndex
330   $aThis book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3. In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds. For integral homology spheres, l is the invariant introduced by Casson in 1985, which allowed him to solve old and famous questions in 3-dimensional topology. l becomes simpler as the first Betti number increases. As an explicit function of Alexander polynomials and surgery coefficients of framed links, the function F extends in a natural way to framed links in rational homology spheres. It is proven that F describes the variation of l under any surgery starting from a rational homology sphere. Thus F yields a global surgery formula for the Casson invariant.
410  0$aAnnals of mathematics studies ;$vNumber 10.
606   $aSurgery (Topology)
606   $aThree-manifolds (Topology)
610   $a3-manifold.
610   $aAddition.
610   $aAlexander polynomial.
610   $aAmbient isotopy.
610   $aBetti number.
610   $aCasson invariant.
610   $aChange of basis.
610   $aChange of variables.
610   $aCobordism.
610   $aCoefficient.
610   $aCombination.
610   $aCombinatorics.
610   $aComputation.
610   $aConjugacy class.
610   $aConnected component (graph theory).
610   $aConnected space.
610   $aConnected sum.
610   $aCup product.
610   $aDeterminant.
610   $aDiagram (category theory).
610   $aDisk (mathematics).
610   $aEmpty set.
610   $aExterior (topology).
610   $aFiber bundle.
610   $aFibration.
610   $aFunction (mathematics).
610   $aFundamental group.
610   $aHomeomorphism.
610   $aHomology (mathematics).
610   $aHomology sphere.
610   $aHomotopy sphere.
610   $aIndeterminate (variable).
610   $aInteger.
610   $aKlein bottle.
610   $aKnot theory.
610   $aManifold.
610   $aMorphism.
610   $aNotation.
610   $aOrientability.
610   $aPermutation.
610   $aPolynomial.
610   $aPrime number.
610   $aProjective plane.
610   $aScientific notation.
610   $aSeifert surface.
610   $aSequence.
610   $aSummation.
610   $aSymmetrization.
610   $aTaylor series.
610   $aTheorem.
610   $aTopology.
610   $aTubular neighborhood.
610   $aUnlink.
615  0$aSurgery (Topology)
615  0$aThree-manifolds (Topology)
676   $a514/.72
700   $aLescop$b Christine$f1966-$061272
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910786748103321
996   $aGlobal surgery formula for the Casson-Walker invariant$9375767
997   $aUNINA