Volume 18 (2012)

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Proceedings of the Freedman Fest

Editors: Rob Kirby, Vyacheslav Krushkal and Zhenghan Wang

MF03   Young Mike   Cook portrait

Michael Hartley Freedman

60 years, 21st April 2011

This volume is dedicated to Mike Freedman on the occasion of his 60th birthday. It contains papers on a wide variety of topics in Topology and Physics and is based on two conferences that were held in 2011. The Conference on Low-Dimensional Manifolds and High-Dimensional Categories, in honor of Michael Freedman, was held at UC Berkeley on June 6-10, 2011. It featured talks by Yakov Eliashberg, Ron Fintushel, David Gay, Cameron Gordon, Sergei Gukov, Ko Honda, Michael Hutchings, Slava Krushkal, Yanki Lekili, Scott Morrison, Frank Quinn, Martin Scharlemann, Rob Schneiderman, Catharina Stroppel, Clifford Taubes, Peter Teichner, Ben Webster, Katrin Wehrheim, and Edward Witten. The organizing committee consisted of Ian Agol, Robion Kirby, Slava Krushkal, Peter Teichner, Abigail Thompson, and Kevin Walker.

The Freedman Symposium was held at the Kavli Institute for Theoretical Physics in Santa Barbara on April 15-17, 2011. Invited lectures were given by Scott Aaronson, Sankar Das Sarma, Eddie Farhi, Matthew Fisher, Dan Freed, Matt Hastings, Charlie Kane, Alexei Kitaev, Steve Kivelson, Laci Lovasz, Andreas Ludwig, John Manferdelli, Greg Moore, Chetan Nayak, John Preskill, Xiaoliang Qi, Peter Shor, Kirill Shtengel, Steve Simon, and Xiao-Gang Wen. The conference was organized by Chetan Nayak and Zhenghan Wang.

The publication of this volume and the conferences were supported in part by Zheng-Xu He, the National Science Foundation, and Microsoft Station Q.

Geometry & Topology Monographs 18 (2012)

DOI: 10.2140/gtm.2012.18

The bosonic birthday paradox

Alex Arkhipov and Greg Kuperberg

Broken Lefschetz fibrations and smooth structures on 4–manifolds

Refik İnanç Baykur

Universal quadratic forms and Whitney tower intersection invariants

James Conant, Rob Schneiderman and Peter Teichner

Surgery on nullhomologous tori

Ronald Fintushel and Ronald Stern

On Wigner's theorem

Daniel S Freed

Kernel(J) warns of false vacua

Michael Freedman

Reconstructing 4–manifolds from Morse 2–functions

David Gay and Robion Kirby

Matrix product operators and central elements: Classical description of a quantum state

Matthew B Hastings

Cohomotopy sets of 4–manifolds

Robion Kirby, Paul Melvin and Peter Teichner

Solutions to generalized Yang–Baxter equations via ribbon fusion categories

Alexei Kitaev and Zhenghan Wang

Link groups of 4–manifolds

Vyacheslav Krushkal

The principal fibration sequence and the second cohomotopy set

Laurence Taylor

An introduction to categorifying quantum knot invariants

Ben Webster

Khovanov homology and gauge theory

Edward Witten

Homological algebra of knots and BPS states

Sergei Gukov and Marko Stošić

Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing

Katrin Wehrheim


Publication of these proceedings is now complete.