Geometric Langlands And The Equations Of Nahm And Bogomolny TeX Export

@article{citeulike:4709028, abstract = {Geometric Langlands duality relates a representation of a simple Lie group \$G^\vee\$ to the cohomology of a certain moduli space associated with the dual group \$G\$. In this correspondence, a principal \$SL\_2\$ subgroup of \$G^\vee\$ makes an unexpected appearance. Why this happens can be explained using gauge theory, as we will see in this article, with the help of the equations of Nahm and Bogomolny. (Based on a lecture at Geometry and Physics: Atiyah 80, Edinburgh, April 2009.)}, archivePrefix = {arXiv}, author = {Witten, Edward}, citeulike-article-id = {4709028}, citeulike-linkout-0 = {http://arxiv.org/abs/0905.4795}, citeulike-linkout-1 = {http://arxiv.org/pdf/0905.4795}, day = {29}, eprint = {0905.4795}, month = {May}, posted-at = {2009-06-01 19:42:36}, priority = {2}, title = {Geometric Langlands And The Equations Of Nahm And Bogomolny}, url = {http://arxiv.org/abs/0905.4795}, year = {2009} }

TY - JOUR ID - citeulike:4709028 L3 - citeulike-article-id:4709028 N2 - Geometric Langlands duality relates a representation of a simple Lie group $G^\vee$ to the cohomology of a certain moduli space associated with the dual group $G$. In this correspondence, a principal $SL_2$ subgroup of $G^\vee$ makes an unexpected appearance. Why this happens can be explained using gauge theory, as we will see in this article, with the help of the equations of Nahm and Bogomolny. (Based on a lecture at Geometry and Physics: Atiyah 80, Edinburgh, April 2009.) TI - Geometric Langlands And The Equations Of Nahm And Bogomolny AU - Witten, Edward PY - 2009/May/29/ UR - http://arxiv.org/abs/0905.4795 ER -