12 citations · 36 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
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…
The Viterbo-Maslov Index in Dimension Two
Joel Robbin, Dietmar Salamon
We prove a formula that expresses the Viterbo-Maslov index of a smooth strip in an oriented 2-manifold with boundary curves contained in 1-dimensional submanifolds in terms the deg…
Combinatorial Floer Homology
Vin de Silva, Joel Robbin, Dietmar Salamon
We define combinatorial Floer homology of a transverse pair of noncontractibe nonisotopic embedded loops in an oriented 2-manifold without boundary, prove that it is invariant unde…
A construction of the Deligne--Mumford orbifold
Joel W. Robbin, Dietmar A. Salamon
We define the Deligne Mumford orbifold axiomatically by a universal mapping property, show that this universal mapping property is equivalent to an infinitessimal universal mapping…