Includes bibliographical references.

Surveys in 3-manifold topology / Ian Agol and David Gabai -- New developments in Ricci flow with surgery / Richard H. Bamler -- Geometric methods in Heegaard theory / Tobias Holck Colding, David Gabai, and Daniel Ketover -- Foliations, contact structures and their interactions in dimension three / Vincent Colin and Ko Honda -- Legendrian contact homology in R3 / John B. Etnyre and Lenhard L. Ng -- Algorithms in 3-manifold theory / Marc Lackenby -- Toward and after virtual specialization in 3-manifold topology / Yi Liu and Hongbin Sun -- Some groups with planar boundaries / Sang-Hyun Kim and Genevieve Walsh -- Cannon-Thurston maps in Kleinian groups and geometric group theory / Mahan Mj -- Volumes of quasifuchsian manifolds / Jean-Marc Schlenker.

"In the last half-century, tremendous progress has been made in the study of 3-dimensional topology. Many revolutions in 3-manifold topology during this period have come from outside of the field, including Kleinian groups, minimal surfaces, foliations, von Neumann algebras, gauge theory, mathematical physics, 4-manifolds, symplectic topology, contact topology, Riemannian geometry and PDEs, number theory, dynamics, and geometric group theory. The influx of ideas from neighboring fields has made the subject of 3-manifolds (and more generally low-dimensional topology) a very rich subject, creating subfields such as quantum topology. But this also means that there is a tremendous amount of background material for a novitiate in the subject to learn and master"--Publisher.