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Some aspects of Duistermaat-Heckman formula in finite dimensions are reviewed. We especulate with some of its possible extensions to infinite dimensions. In particular we review the localization principle and the geometry of loop spaces following Witten and Atiyah?s insight.
@article{Ibort2003, abstract = {Some aspects of Duistermaat-Heckman formula in finite dimensions are reviewed. We especulate with some of its possible extensions to infinite dimensions. In particular we review the localization principle and the geometry of loop spaces following Witten and Atiyah?s insight.}, author = {Ibort, Alberto}, journal = {RACSAM}, keywords = {Geometría simpléctica; symplectic geometry; loop spaces; momentum map; symplectic reduction; oscillatory integrals}, language = {eng}, number = {1}, pages = {73-82}, title = {A quantum Duistermaat-Heckamn formula?}, url = {http://eudml.org/doc/40957}, volume = {97}, year = {2003}, }
TY - JOUR AU - Ibort, Alberto TI - A quantum Duistermaat-Heckamn formula? JO - RACSAM PY - 2003 VL - 97 IS - 1 SP - 73 EP - 82 AB - Some aspects of Duistermaat-Heckman formula in finite dimensions are reviewed. We especulate with some of its possible extensions to infinite dimensions. In particular we review the localization principle and the geometry of loop spaces following Witten and Atiyah?s insight. LA - eng KW - Geometría simpléctica; symplectic geometry; loop spaces; momentum map; symplectic reduction; oscillatory integrals UR - http://eudml.org/doc/40957 ER -