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Elliptic operators and compact groups / Michael Francis Atiyah.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 401.Publication details: Berlin ; New York : Springer Verlag, 1974.Description: 1 online resource (93 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540378112
  • 3540378111
Subject(s): Additional physical formats: Print version:: Elliptic operators and compact groups.DDC classification:
  • 510/.8 s 514/.23
LOC classification:
  • QA3 .L28 no. 401 QA614
Other classification:
  • 31.55
  • 31.61
  • 31.65
  • 46F10
  • 58J20
  • 19a
Online resources:
Contents:
Lecture 1: Transversally elliptic operators -- Lecture 2: The index of transversally elliptic operators -- Lecture 3: The excision and multiplicative properties -- Lecture 4: The naturality of the index and the localization theorem -- Lecture 5: The index homomorphism for G = S1 -- Lecture 6: The operators for G = S1 -- Lecture 7: Toral actions with finite isotropy groups -- Lecture 8: The index homomorphism for G = Tn -- Lecture 9: The cohomology formula -- Lecture 10: Applications.
Action note:
  • digitized 2011 HathiTrust Digital Library committed to preserve
Summary: These lectures, based on joint work with I. M. Singer, will describe an extension of the index theory of elliptic operators beyond that developed in [7], [8], [9]. In those papers we studied as elliptic operator P invariant under a compact Lie group G.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 92-93).

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Print version record.

Lecture 1: Transversally elliptic operators -- Lecture 2: The index of transversally elliptic operators -- Lecture 3: The excision and multiplicative properties -- Lecture 4: The naturality of the index and the localization theorem -- Lecture 5: The index homomorphism for G = S1 -- Lecture 6: The operators for G = S1 -- Lecture 7: Toral actions with finite isotropy groups -- Lecture 8: The index homomorphism for G = Tn -- Lecture 9: The cohomology formula -- Lecture 10: Applications.

These lectures, based on joint work with I. M. Singer, will describe an extension of the index theory of elliptic operators beyond that developed in [7], [8], [9]. In those papers we studied as elliptic operator P invariant under a compact Lie group G.

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