Geometry & Topology Monographs

Volume 7: Proceedings of the Casson Fest

Cameron Gordon and Yoav Rieck (editors)

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Andrew Casson

This volume contains papers on a wide range of topics in low-dimensional topology. It arose out of two events that were held in 2003. The first was the 28th University of Arkansas Spring Lecture Series in the Mathematical Sciences, which took place April 10-12, 2003. These annual conferences focus on a specific topic of current interest in mathematics, and feature a principal lecturer who gives a series of five lectures and selects additional invited speakers. In 2003 the principal lecturer was Andrew Casson, and the title of his lecture series was "The Andrews-Curtis and the Poincare Conjectures". The invited speakers were Stephen Bigelow, Martin Bridson, Danny Calegari, Nathan Dunfield, Cameron Gordon, Alan Reid, Martin Scharlemann, Zlil Sela, and Peter Shalen. A special public lecture was given by Jeff Weeks. There were also several contributed talks. The organizers were Chaim Goodman-Strauss and Yo'av Rieck. The conference was supported by NSF Grant DMS-0245047 and by the Department of Mathematical Sciences, Fulbright College of Arts and Sciences and Graduate School of the University of Arkansas.

The second event was the Conference on the Topology of Manifolds of Dimensions 3 and 4, held at the University of Texas at Austin, May 19-21, 2003, in honor of the 60th birthday of Andrew Casson. Invited lectures were given by Danny Calegari, Bob Edwards, Mike Freedman, Dave Gabai, Rob Kirby, Greg Kuperberg, Darren Long, Peter Ozsvath, Andrew Ranicki, Ron Stern, Peter Teichner, Kevin Walker, and Terry Wall. The organizing committee consisted of Cameron Gordon, Bob Gompf, John Luecke and Alan Reid. The conference was supported by NSF Grant DMS-0229035 and by the Department of Mathematics of the University of Texas at Austin.


1. Pages 1-26 : Poincare duality in dimension 3

2. Pages 27-68 : Seifert Klein bottles for knots with common boundary slopes

3. Pages 69-100 : Minimal surfaces in germs of hyperbolic 3--manifolds

4. Pages 101-134 : Whitney towers and the Kontsevich integral

5. Pages 135-144 : On the additivity of knot width

6. Pages 145-180 : Algebraic and combinatorial codimension-1 transversality

7. Pages 181-203 : On Heegaard Floer homology and Seifert fibered surgeries

8. Pages 205-212 : Generalized Dedekind sums

9. Pages 213-233 : Local surgery formulas for quantum invariants and the Arf invariant

10. Pages 235-265 : Ideal triangulations of 3-manifolds I: spun normal surface theory

11. Pages 267-290 : Symplectic structures from Lefschetz pencils in high dimensions

12. Pages 291-309 : On the characteristic and deformation varieties of a knot

13. Pages 311-333 : Tori in symplectic 4-manifolds

14. Pages 335-430 : Knots with only two strict essential surfaces

15. Pages 431-491 : Circular groups, planar groups, and the Euler class

16. Pages 493-507 : Homological representations of the Iwahori-Hecke algebra

17. Pages 509-547 : The metric space of geodesic laminations on a surface II: small surfaces

Publication of papers is now complete. Some historical material will be added in due course.

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