Casson's invariant for oriented homology 3-spheres : an exposition / by Selman Akbulut and John D. McCarthy.

By:

Akbulut, Selman, 1949-

Contributor(s):

McCarthy, John D, 1955-

Material type: Text

TextSeries: Mathematical notes (Princeton University Press) ; 36.Publication details: Princeton, N.J. : Princeton University Press, 1990.Description: 1 online resource (xviii, 182 pages) : illustrationsContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400860623
1400860628

Subject(s): Genre/Form:

Additional physical formats: Print version:: Casson's invariant for oriented homology 3-spheres.DDC classification:

514/.3 22

LOC classification:

QA613 .A43 1990eb

Online resources:

Click here to access online

Contents:

Cover; Contents; I: Representation Spaces; II: Heegard Decompositions and Stable Equivalence; III: Representation Spaces Associated to Heegard Decompositions; IV: Casson''s Invariant for Oriented Homology 3-Spheres; V: Casson''s Invariant for Knots in Homology 3-Spheres; VI: The Topology of the Space of Representations.

Action note:

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Summary: In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson''s original outline and proceed by giving needed details, including an exposition of Newstead''s results. They have often chosen classical concrete approaches over genera.

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Includes bibliographical references.

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http://purl.oclc.org/DLF/benchrepro0212

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Print version record.

In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These notes grew out of that seminar. The authors have tried to remain close to Casson''s original outline and proceed by giving needed details, including an exposition of Newstead''s results. They have often chosen classical concrete approaches over genera.

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