skip to content
Global analysis on foliated spaces Preview this item
ClosePreview this item
Checking...

Global analysis on foliated spaces

Author: C C Moore; Claude Schochet
Publisher: New York : Cambridge University Press, 2006.
Series: Mathematical Sciences Research Institute publications, 9.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
"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
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: C C Moore; Claude Schochet
ISBN: 0521613051 9780521613057
OCLC Number: 61652875
Description: xiii, 293 pages : illustrations ; 24 cm.
Contents: Locally traceable operators --
Foliated spaces --
Tangential cohomology --
Transverse measures --
Characteristic classes --
Operator algebras --
Pseudodifferential operators --
The index theorem.
Series Title: Mathematical Sciences Research Institute publications, 9.
Responsibility: Calvin C. Moore, Claude L. Schochet.
More information:

Abstract:

This book presents a complete proof of Connes' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

Praise for the first edition ... 'The quest for the proof leads through functional analysis, C^* and von Neumann algebras, topological groupoids, characteristic classes and K-theory along a Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/61652875> # Global analysis on foliated spaces
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "61652875" ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   schema:about <http://id.worldcat.org/fast/943472> ; # Global analysis (Mathematics)
   schema:about <http://id.worldcat.org/fast/928570> ; # Foliations (Mathematics)
   schema:about <http://dewey.info/class/514.74/e22/> ;
   schema:bookEdition "2nd ed." ;
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/264337354> ; # Claude Schochet
   schema:creator <http://viaf.org/viaf/22212962> ; # Calvin C. Moore
   schema:datePublished "2006" ;
   schema:description "Locally traceable operators -- Foliated spaces -- Tangential cohomology -- Transverse measures -- Characteristic classes -- Operator algebras -- Pseudodifferential operators -- The index theorem."@en ;
   schema:description ""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."--Jacket."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/46107931> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/46107931#Series/mathematical_sciences_research_institute_publications> ; # Mathematical Sciences Research Institute publications ;
   schema:name "Global analysis on foliated spaces"@en ;
   schema:productID "61652875" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/61652875#PublicationEvent/new_york_cambridge_university_press_2006> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/46107931#Agent/cambridge_university_press> ; # Cambridge University Press
   schema:reviews <http://www.worldcat.org/title/-/oclc/61652875#Review/-1426329304> ;
   schema:url <http://catdir.loc.gov/catdir/enhancements/fy0633/2005054277-t.html> ;
   schema:workExample <http://worldcat.org/isbn/9780521613057> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/61652875> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/46107931#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
   schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/46107931#Series/mathematical_sciences_research_institute_publications> # Mathematical Sciences Research Institute publications ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/61652875> ; # Global analysis on foliated spaces
   schema:name "Mathematical Sciences Research Institute publications ;" ;
    .

<http://id.worldcat.org/fast/928570> # Foliations (Mathematics)
    a schema:Intangible ;
   schema:name "Foliations (Mathematics)"@en ;
    .

<http://id.worldcat.org/fast/943472> # Global analysis (Mathematics)
    a schema:Intangible ;
   schema:name "Global analysis (Mathematics)"@en ;
    .

<http://viaf.org/viaf/22212962> # Calvin C. Moore
    a schema:Person ;
   schema:birthDate "1936" ;
   schema:familyName "Moore" ;
   schema:givenName "Calvin C." ;
   schema:givenName "C. C." ;
   schema:name "Calvin C. Moore" ;
    .

<http://viaf.org/viaf/264337354> # Claude Schochet
    a schema:Person ;
   schema:birthDate "1944" ;
   schema:familyName "Schochet" ;
   schema:givenName "Claude" ;
   schema:name "Claude Schochet" ;
    .

<http://worldcat.org/isbn/9780521613057>
    a schema:ProductModel ;
   schema:isbn "0521613051" ;
   schema:isbn "9780521613057" ;
    .

<http://www.worldcat.org/title/-/oclc/61652875#Review/-1426329304>
    a schema:Review ;
   schema:itemReviewed <http://www.worldcat.org/oclc/61652875> ; # Global analysis on foliated spaces
   schema:reviewBody ""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."" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.