Stable Gauged Maps

Properness for Scaled Gauged Maps

We prove properness of moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet [42] and Schmitt [48]. The proof combines a git construction of Schmitt [48], properness for twisted stable maps by Abramovich-Vistoli [1], a variation of a boundedness argument due to Ciocan-Fontanine-Kim-Maulik [13], and a removal of singularities for bundles on surfaces in Colliot-Thél...

Relative Compactness and Product Stable Quotient Maps

Stable Exponentially Harmonic Maps Between Finsler Manifolds

with Forest Type Maps

Fragmentation of forest types is an indicator of biodiversity in the Montreal Process, but the available national data permit assessment of only overall forestland fragmentation, not forest type fragmentation. Here we illustrate how to localize national statistics from the 2003 National Report on Sustainable Forests by combining state vegetation maps with national forestland fragmentation maps....

Se p 19 97 Topologically stable soliton in the U ( 1 ) gauged Skyrme model

We use a particular prescription to gauge an S3 model with a U(1) Maxwell field. This model reverts to the usual Skyrme model in the limit of the gauge coupling constant vanishing. We show that static solutions exists and that they are topologicaly stable. Because of our gauging prescription they have an axial symmetry. They are not charged, but have a non-zero magnetic fields. The energy of th...