Proceedings of the Conference on Transformation Groups

1. Front Matter

   Pages I-XIII

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2. Surgery and the Theory of Differentiable Transformation Groups

   1. Surgery and the Theory of Differentiable Transformation Groups

      • William Browder

      Pages 1-46

3. Differentiable Transformation Groups

   1. Exotic Actions on Spheres

      • Glen E. Bredon

      Pages 47-76

   2. A Survey on Regularity Theorems in Differentiable Compact Transformation Groups

      • Wu-Yi Hsiang

      Pages 77-124

   3. Differentiable Actions on Homotopy Seven Spheres, II

      • Deane Montgomery, C. T. Yang

      Pages 125-134

   4. On the Classification of Regular O(n)-Manifolds in Terms of their Orbit Bundles

      • Klaus Jänich

      Pages 135-142

   5. Involutions on Homotopy Spheres

      • G. R. Livesay, C. B. Thomas

      Pages 143-147

   6. Involutionen auf Mannigfaltigkeiten

      • Heinrich Behnke, F. Hirzebruch

      Pages 148-166

   7. Some Results on Involutions of Homotopy Spheres

      • Santiago López de Medrano

      Pages 167-174

   8. Free Differentiable Actions on Homotopy Spheres

      • Deane Montgomery, C. T. Yang

      Pages 175-192

   9. Some Results on Cyclic Transformation Groups on Homotopy Spheres

      • J. C. Su

      Pages 193-204

   10. Examples of Free Involutions on 3-Manifolds

       • Peter Orlik

       Pages 205-206

   11. Short Notes

       1. Cyclic Group Actions on Homotopy Spheres

          • C. N. Lee

          Pages 207-207

       2. Non-Existence of Free Differentiable Actions of <i>S</i> ¹ and ℤ₂ on Homotopy Spheres

          • Ronnie Lee

          Pages 208-209

       3. On Differentiable Actions of Compact Lie Groups on Compact Manifolds

          • Eugenio Calabi

          Pages 210-213

       4. Examples of Differentiable Involutions

          • Hsu-Tung Ku

          Pages 214-219

       5. 3-Dimensional G-Manifolds with 2-Dimensional Orbits

          • Walter D. Neumann

          Pages 220-222

       6. Some Problems in Differentiable Transformation Groups

          • Wu-Chung Hsiang, Wu-Yi Hsiang

          Pages 223-234

4. Back Matter

   Pages 235-236

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5. Algebraic Topological and Other Techniques

   1. Equivariant Homology Theories

      • C. N. Lee

      Pages 237-244

These Proceedings contain articles based on the lectures and in­ formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun­ dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani­ festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub­ lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen­ tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.

• Finite
• Groups
• Lie
• algebra
• group
• group theory
• homology
• homotopy
• lie group
• manifold
• object
• proof
• semigroup
• theorem
• transformation

• Department of Mathematics, Tulane University, New Orleans, USA

  Paul S. Mostert

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