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010   $a1-4008-8246-X
024 7 $a10.1515/9781400882465
035   $a(CKB)3710000000631345
035   $a(MiAaPQ)EBC4738731
035   $a(DE-B1597)467922
035   $a(OCoLC)979743249
035   $a(DE-B1597)9781400882465
035   $a(EXLCZ)993710000000631345
100   $a20190708d2016      fg              
101 0 $aeng
135   $aurcnu||||||||
181   $2rdacontent
182   $2rdamedia
183   $2rdacarrier
200 13$aAn Extension of Casson's Invariant. (AM-126), Volume 126 /$fKevin Walker
210  1$aPrinceton, NJ : $cPrinceton University Press, $d[2016]
210  4$dİ1992
215   $a1 online resource (140 pages) $cillustrations
225 0 $aAnnals of Mathematics Studies ;$v308
311   $a0-691-08766-0 
311   $a0-691-02532-0 
320   $aIncludes bibliographical references.
327   $tFrontmatter -- $tContents -- $t0. Introduction -- $t1. Topology of Representation Spaces -- $t2. Definition of ? -- $t3. Various Properties of ? -- $t4. The Dehn Surgery Formula -- $t5. Combinatorial Definition of ? -- $t6. Consequences of the Dehn Surgery Formula -- $tA. Dedekind Sums -- $tB. Alexander Polynomials -- $tBibliography
330   $aThis book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M.
410  0$aAnnals of mathematics studies ;$vno. 126.
606   $aThree-manifolds (Topology)
606   $aInvariants
610   $aAbsolute value.
610   $aAndrew Casson.
610   $aBasis (linear algebra).
610   $aCohomology.
610   $aDan Freed.
610   $aDehn surgery.
610   $aDehn twist.
610   $aDeterminant.
610   $aDiagram (category theory).
610   $aDisk (mathematics).
610   $aElementary proof.
610   $aFundamental group.
610   $aGeneral position.
610   $aHeegaard splitting.
610   $aHomology sphere.
610   $aIdentity matrix.
610   $aInner product space.
610   $aLie group.
610   $aMathematical sciences.
610   $aMorris Hirsch.
610   $aNormal bundle.
610   $aScientific notation.
610   $aSequence.
610   $aSurjective function.
610   $aSymplectic geometry.
610   $aTheorem.
610   $aTopology.
615  0$aThree-manifolds (Topology)
615  0$aInvariants.
676   $a514/.3
686   $aSK 320$2rvk
700   $aWalker$b Kevin, $0350732
801  0$bDE-B1597
801  1$bDE-B1597
906   $aBOOK
912   $a9910154744603321
996   $aAn Extension of Casson's Invariant. (AM-126), Volume 126$92786236
997   $aUNINA