Fields Institute Communications 2005; 347 pp; hardcover Volume: 47 ISBN10: 0821837249 ISBN13: 9780821837245 List Price: US$120 Member Price: US$96 Order Code: FIC/47
 This book contains expository papers that give an uptodate account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and SeibergWitten gauge theory, Heegaard Floer homology, contact and symplectic geometry, and GromovWitten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 1418, 2004 and are representative of the many excellent talks delivered at the conference. Titles in this series are copublished with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Graduate students and research mathematicians interested in geometric topology. Table of Contents  S. Akbulut and S. Durusoy  An involution acting nontrivially on HeegaardFloer homology
 W. Chen  Pseudoholomorphic curves in fourorbifolds and some applications
 O. Collin  Floer homology for knots and 3manifolds and cyclic Dehn surgeries along knots
 C. L. Curtis  A \(PSL_2(\mathbb{C})\) Casson invariant
 J. F. Davis  The Borel/Novikov conjectures and stable diffeomorphisms of 4manifolds
 T. Ekholm and J. B. Etnyre  Invariants of knots, embeddings and immersions via contact geometry
 P. M. N. Feehan and T. G. Leness  SO(3)monopoles: The overlap problem
 S. Jabuka and T. Mark  Heegaard Floer homology of mapping tori II
 V. S. Krushkal  Surfaces in 4manifolds and the surgery conjecture
 J. Lee and T. H. Parker  Symplectic gluing and family GromovWitten invariants
 Y.J. Lee  Heegaard splittings and SeibergWitten monopoles
 T.J. Li  Existence of symplectic surfaces
 A. Némethi  On the Heegaard Floer homology of \(S^3_{d}(K)\) and unicuspidal rational plane curves
 M. Niepel  Examples of symplectic 4manifolds with positive signature
 B. Owens and S. Strle  Definite manifolds bounded by rational homology three spheres
 P. Ozsváth and Z. Szabó  On Park's exotic smooth fourmanifolds
 J. Rasmussen  Knot polynomials and knot homologies
 D. Ruberman and N. Saveliev  Cassontype invariants in dimension four
 S. Schack and X. Zhang  CullerShalen norms and invariant trace fields
 L. R. Taylor  Complex spin structures on 3manifolds
 M. Usher  Lefschetz fibrations and pseudoholomorphic curves
 S. Vidussi  The isotopy problem for symplectic 4manifolds
