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LEADER: 03287cam a2200385 a 4500
001 5625672
005 20221121195133.0
008 050915s2006 nyua b 001 0 eng
010 $a 2005054277
020 $a0521613051 (pbk.)
024 3 $a9780521613057
035 $a(OCoLC)ocm61652875
035 $a(NNC)5625672
035 $a5625672
040 $aDLC$cDLC$dYDX$dBAKER$dOrLoB-B
050 00 $aQA614$b.M65 2006
082 00 $a514/.74$222
100 1 $aMoore, C. C.$q(Calvin C.),$d1936-$0http://id.loc.gov/authorities/names/n86109624
245 10 $aGlobal analysis on foliated spaces /$cCalvin C. Moore, Claude L. Schochet.
250 $a2nd ed.
260 $aNew York :$bCambridge University Press,$c2006.
300 $axiii, 293 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMathematical Sciences Research Institute publications ;$v9
504 $aIncludes bibliographical references (p. 267-279) and index.
505 00 $gCh. I.$tLocally traceable operators -- $gCh. II.$tFoliated spaces -- $gCh. III.$tTangential cohomology -- $gCh. IV.$tTransverse measures -- $gCh. V.$tCharacteristic classes -- $gCh. VI.$tOperator algebras -- $gCh. VII.$tPseudodifferential operators -- $gCh. VIII.$tThe index theorem -- $gApp. A.$tThe [actual symbol not reproducible]-operator /$rSteven Hurder -- $gApp. B.$tL[superscript 2] harmonic forms on noncompact manifolds /$rCalvin C. Moore, Claude Schochet and Robert J. Zimmer -- $gApp. C.$tPositive scalar curvature along the leaves /$rRobert J. Zimmer -- $gApp. D.$tGap labeling /$rClaude Schochet.
520 1 $a"Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes founded what is now known as noncommutative geometry and topology. One of the first results was his generalization of the Atiyah-Singer index theorem to compute the analytic index associated with a tangential (pseudo)-differential operator and an invariant transverse measure on a foliated manifold, in terms of topological data on the manifold and the operator." "This book presents a complete proof of this beautiful result, generalized to foliated spaces (not just manifolds). It includes the necessary background from analysis, geometry, and topology. This second edition has improved exposition, an updated bibliography, an index, and additional material covering developments and applications since the first edition came out, including the confirmation of the Gap Labeling Conjecture of Jean Bellissard."--BOOK JACKET.
650 0 $aGlobal analysis (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85055284
650 0 $aFoliations (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85049646
700 1 $aSchochet, Claude,$d1944-$0http://id.loc.gov/authorities/names/n82038796
830 0 $aMathematical Sciences Research Institute publications ;$v9.$0http://id.loc.gov/authorities/names/n84714376
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0633/2005054277-d.html
856 41 $3Table of contents$uhttp://www.loc.gov/catdir/enhancements/fy0633/2005054277-t.html
852 00 $bmat$hQA614$i.M65 2006