**Proceedings of Symposia in Pure Mathematics**

Volume: 82;
2011;
228 pp;
Hardcover

MSC: Primary 57; 20; 53; 55;

Print ISBN: 978-0-8218-5235-4

Product Code: PSPUM/82

List Price: $65.00

Individual Member Price: $52.00

**Electronic ISBN: 978-0-8218-9390-6
Product Code: PSPUM/82.E**

List Price: $65.00

Individual Member Price: $52.00

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# Low-dimensional and Symplectic Topology

Share this page *Edited by *
*Michael Usher*

Every eight years since 1961, the University
of Georgia has hosted a major international topology conference aimed
at disseminating important recent results and bringing together
researchers at different stages of their careers.

This volume contains the proceedings of the 2009 conference, which
includes survey and research articles concerning such areas as knot
theory, contact and symplectic topology, 3-manifold theory, geometric
group theory, and equivariant topology. Among other highlights of the
volume, a survey article by Stefan Friedl and Stefano Vidussi provides
an accessible treatment of their important proof of Taubes' conjecture
on symplectic structures on the product of a 3-manifold and a circle,
and an intriguing short article by Dennis Sullivan opens the door to
the use of modern algebraic-topological techniques in the study of
finite-dimensional models of famously difficult problems in fluid
dynamics.

Continuing what has become a tradition, this volume contains a
report on a problem session held at the conference, discussing a
variety of open problems in geometric topology.

#### Table of Contents

# Table of Contents

## Low-dimensional and Symplectic Topology

- Contents vii8 free
- Preface ix10 free
- Algebra, Topology and Algebraic Topology of 3D Ideal Fluids 112 free
- Subgroups and quotients of automorphism groups of RAAGs 920
- Abelian ρ-invariants of iterated torus knots 2940
- A surgical perspective on quasi-alternating links 3950
- Thurston norm and cosmetic surgeries 5364
- On the relative Giroux correspondence 6576
- A note on the support norm of a contact structure 7990
- Topological properties of Reeb orbits on boundaries of star-shaped domains in R[sup(4)] 89100
- Twisted Alexander polynomials and fibered 3—manifolds 111122
- Displacing Lagrangian toric fibers via probes 131142
- Equivariant Bredon cohomology and Čech hypercohomology 161172
- Sphere recognition lies in NP 183194
- Open problems in geometric topology 215226

#### Readership

Graduate students and research mathematicians interested in geometric topology, including knot theory, contact and symplectic topology, 3-manifolds, and geometric group theory.