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Casson's Invariant for Oriented Homology Three-Spheres. An Exposition. (MN ). Series:Mathematical Notes PRINCETON UNIVERSITY PRESS John McCarthy held a seminar on this invariant. These notes grew out of that seminar.
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The Four-Color Theorem and an Instanton Invariant for Spatial Graphs II - Tomasz Mrowka

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The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in Many of our ebooks are available through library electronic resources including these platforms:. Add to Cart. More about this book. Selman Akbulut. For this reason, we use the standard notation:. We need to establish the reverse inclusion. Under this identification, the diffeomorphism of part a identifying S3 with SU 2, C is an isomorphism of group structures and an isometry of metrics.

The action of S3 on H by conjugation is a linear action by isometries of S3.

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Hence, we obtain a representation:. Now R [subset] H and R is fixed by the action. Hence, we can reduce r to a representation in SO By Proposition 1. We observe that the natural involution of S3 defined in the previous section, under the above identification with the unit quaternions, is given by the rule:.


  1. Casson's Invariant for Oriented Homology Three-Spheres : Selman Akbulut : .
  2. Casson's Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36).
  3. Plant Microbes Symbiosis: Applied Facets.

Note: We shall primarily work with SU 2, C. It is, however, convenient to have these alternative models.


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