The Resource Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet
Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet
Resource Information
The item Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 AtiyahSinger 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."Jacket
 Language
 eng
 Edition
 2nd ed.
 Extent
 xiii, 293 pages
 Contents

 Locally traceable operators
 Foliated spaces
 Tangential cohomology
 Transverse measures
 Characteristic classes
 Operator algebras
 Pseudodifferential operators
 The index theorem
 Isbn
 9780521613057
 Label
 Global analysis on foliated spaces
 Title
 Global analysis on foliated spaces
 Statement of responsibility
 Calvin C. Moore, Claude L. Schochet
 Language
 eng
 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 AtiyahSinger 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."Jacket
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1936
 http://library.link/vocab/creatorName
 Moore, C. C.
 Dewey number
 514/.74
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA614
 LC item number
 .M65 2006
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1944
 http://library.link/vocab/relatedWorkOrContributorName
 Schochet, Claude
 Series statement
 Mathematical Sciences Research Institute publications
 Series volume
 9
 http://library.link/vocab/subjectName

 Global analysis (Mathematics)
 Foliations (Mathematics)
 Label
 Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet
 Bibliography note
 Includes bibliographical references (pages 267279) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Locally traceable operators  Foliated spaces  Tangential cohomology  Transverse measures  Characteristic classes  Operator algebras  Pseudodifferential operators  The index theorem
 Control code
 61652875
 Dimensions
 24 cm
 Edition
 2nd ed.
 Extent
 xiii, 293 pages
 Isbn
 9780521613057
 Isbn Type
 (pbk.)
 Lccn
 2005054277
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other control number
 9780521613057
 Other physical details
 illustrations
 Label
 Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet
 Bibliography note
 Includes bibliographical references (pages 267279) and index
 Carrier category
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Locally traceable operators  Foliated spaces  Tangential cohomology  Transverse measures  Characteristic classes  Operator algebras  Pseudodifferential operators  The index theorem
 Control code
 61652875
 Dimensions
 24 cm
 Edition
 2nd ed.
 Extent
 xiii, 293 pages
 Isbn
 9780521613057
 Isbn Type
 (pbk.)
 Lccn
 2005054277
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other control number
 9780521613057
 Other physical details
 illustrations
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