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The Resource Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet

Global analysis on foliated spaces, Calvin C. Moore, Claude L. Schochet

Label
Global analysis on foliated spaces
Title
Global analysis on foliated spaces
Statement of responsibility
Calvin C. Moore, Claude L. Schochet
Creator
Contributor
Subject
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 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."--Jacket
Member of
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 267-279) 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
Publication
Bibliography note
Includes bibliographical references (pages 267-279) 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

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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