Volume 7 (2004)

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Proceedings of the Casson Fest (Arkansas and Texas 2003)

Editors: Cameron Gordon and Yoav Rieck

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.

Geometry & Topology Monographs 7 (2004)

DOI: 10.2140/gtm.2004.7

Poincaré duality in dimension 3

C T C Wall

Seifert Klein bottles for knots with common boundary slopes

Luis G Valdez-Sanchez

Minimal surfaces in germs of hyperbolic 3–manifolds

Clifford Henry Taubes

Whitney towers and the Kontsevich integral

Rob Schneiderman and Peter Teichner

On the additivity of knot width

Martin Scharlemann and Abigail Thompson

Algebraic and combinatorial codimension–1 transversality

Andrew Ranicki

On Heegaard Floer homology and Seifert fibered surgeries

Peter Ozsvath and Zoltan Szabo

Generalized Dedekind sums

Darren D Long and Alan W Reid

Local surgery formulas for quantum invariants and the Arf invariant

Robion Kirby and Paul Melvin

Ideal triangulations of 3–manifolds I: spun normal surface theory

Ensil Kang and J Hyam Rubinstein

Symplectic structures from Lefschetz pencils in high dimensions

Robert E Gompf

On the characteristic and deformation varieties of a knot

Stavros Garoufalidis

Tori in symplectic 4–manifolds

Ronald Fintushel and Ronald J Stern

Knots with only two strict essential surfaces

Marc Culler and Peter B Shalen

Circular groups, planar groups, and the Euler class

Danny Calegari

Homological representations of the Iwahori–Hecke algebra

Stephen Bigelow

The metric space of geodesic laminations on a surface II: small surfaces

Francis Bonahon and Xiaodong Zhu