The annual Surveys in Differential Geometry volume is received
with anticipation each year as it summarizes many of the recent discoveries
in the field. This year's volume is dedicated to Professors Calabi, Lawson,
Siu, and Uhlenbeck. It contains important contributions by their students
and colleagues and reflects the important work in the field by these great
mathematicians. The volume is suitable for graduate students and researchers
interested in geometry and topology.
Contents:
Projective planes, Severi varieties and spheres M. Atiyah and J. Berndt
Degeneration of Einstein metrics and metrics with special holonomy J. Cheeger
The min-max construction of minimal surfaces T. H. Colding and C. De Lellis
Universal volume bounds in Riemannian manifolds C. B. Croke and M. Katz
A Kawamata-Viehweg vanishing theorem on compact Kähler manifolds J.-P. Demailly and T. Peternell
Moment maps in differential geometry S. K. Donaldson
Local rigidity for cocycles D. Fisher and G. A. Margulis
Einstein metrics, four-manifolds, and differential topology C. LeBrun
Topological quantum field theory for Calabi-Yau threefolds and $G_2$-manifold N. C. Leung
Geometric results in classical minimal surface theory W. H. Meeks III
On global existence of wave maps with critical regularity A. Nahmod
Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks E. Viehweg and K. Zuo
Geometry of the Weil-Petersson completion of Teichmüller space S. A. Wolpert