133 citations · 246 across the 20 of their papers we have counts for
22 papers
A moment map interpretation of the Ricci form, Kähler--Einstein structures, and Teichmüller spaces
Oscar Garcia-Prada, Dietmar Salamon
This paper surveys the role of moment maps in Kähler geometry. The first section discusses the Ricci form as a moment map and then moves on to moment map interpretations of the Käh…
Complex structures, moment maps, and the Ricci form (Extended Version)
Oscar Garcia-Prada, Dietmar Salamon, Samuel Trautwein
The Ricci form is a moment map for the action of the group of exact volume preserving diffeomorphisms on the space of almost complex structures. This observation yields a new appro…
The Donaldson geometric flow for symplectic four-manifolds
Robin S. Krom, Dietmar A. Salamon
This is an exposition of the Donaldson geometric flow on the space of symplectic forms on a closed smooth four-manifold, representing a fixed cohomology class. The original work ap…
The moment-weight inequality and the Hilbert-Mumford criterion
Valentina Georgoulas, Joel W. Robbin, Dietmar A. Salamon
This paper gives an essentially self-contained exposition (except for an appeal to the Lojasiewicz gradient inequality) of geometric invariant theory from a differential geometric…
Uniqueness of Symplectic Structures
Dietmar Salamon
This survey paper addresses uniqueness questions for symplectic forms on closed manifolds, explains what is known in several examples, and reviews some open problems.
The moduli space of regular stable maps
Joel Robbin, Yongbin Ruan, Dietmar Salamon
The moduli space of regular stable maps with values in a complex manifold admits naturally the structure of a complex orbifold. Our proof uses the methods of differential geometry…