Quantization of Equivariant Vector Bundles
q-alg
2009-10-30 v3 高能物理 - 理论
量子代数
摘要
The quantization of vector bundles is defined. Examples are constructed for the well controlled case of equivariant vector bundles over compact coadjoint orbits. (Coadjoint orbits are symplectic spaces with a transitive, semisimple symmetry group.) In preparation for the main result, the quantization of coadjoint orbits is discussed in detail. This subject should not be confused with the quantization of the total space of a vector bundle such as the cotangent bundle.
引用
@article{arxiv.q-alg/9708030,
title = {Quantization of Equivariant Vector Bundles},
author = {Eli Hawkins},
journal= {arXiv preprint arXiv:q-alg/9708030},
year = {2009}
}
备注
33 pages. AMS-LaTeX. Contains table-of-contents, so run LaTeX 3 times. Minor improvements, 2 added references. Continued by math.QA/9808116