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Search: All articles in the CMB digital archive with keyword loop group

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1. CMB 2015 (vol 59 pp. 50)

Dorfmeister, Josef F.; Inoguchi, Jun-ichi; Kobayashi, Shimpei
 On the Bernstein Problem in the Three-dimensional Heisenberg Group In this note we present a simple alternative proof for the Bernstein problem in the three-dimensional Heisenberg group $\operatorname{Nil}_3$ by using the loop group technique. We clarify the geometric meaning of the two-parameter ambiguity of entire minimal graphs with prescribed Abresch-Rosenberg differential. Keywords:Bernstein problem, minimal graphs, Heisenberg group, loop groups, spinorsCategories:53A10, 53C42

2. CMB 2011 (vol 56 pp. 116)

Krepski, Derek
 Central Extensions of Loop Groups and Obstruction to Pre-Quantization An explicit construction of a pre-quantum line bundle for the moduli space of flat $G$-bundles over a Riemann surface is given, where $G$ is any non-simply connected compact simple Lie group. This work helps to explain a curious coincidence previously observed between Toledano Laredo's work classifying central extensions of loop groups $LG$ and the author's previous work on the obstruction to pre-quantization of the moduli space of flat $G$-bundles. Keywords:loop group, central extension, prequantizationCategories:53D, 22E
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