000 02388nam a22003738i 4500
001 CR9780511756368
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100423s2006||||enk o ||1 0|eng|d
020 _a9780511756368 (ebook)
020 _z9780521613057 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA614
_b.M65 2006
082 0 0 _a514/.74
_222
100 1 _aMoore, C. C.
_q(Calvin C.),
_d1936-
_eauthor.
245 1 0 _aGlobal analysis on foliated spaces /
_cCalvin C. Moore, Claude L. Schochet.
250 _aSecond edition.
264 1 _aCambridge :
_bCambridge University Press,
_c2006.
300 _a1 online resource (xiii, 293 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aMathematical Sciences Research Institute publications ;
_v9
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aFoliated 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 second edition 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. The present 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.
650 0 _aGlobal analysis (Mathematics)
650 0 _aFoliations (Mathematics)
700 1 _aSchochet, Claude,
_d1944-
_eauthor.
776 0 8 _iPrint version:
_z9780521613057
830 0 _aMathematical Sciences Research Institute Publications. ;
_v9.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511756368
999 _c516770
_d516768