Moment Maps, Cobordisms, and Hamiltonian Group Actions
Moment Maps, Cobordisms, and Hamiltonian Group Actions
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DOI：
10.1090/surv/098
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
V. Guillemin;V. Ginzburg;Yael Karshon
中科院分区：
文献类型：
--
作者：
V. Guillemin;V. Ginzburg;Yael Karshon
第一部分.余边性：哈密顿余边性，抽象矩映射，线性化定理，约化及应用，第2部分.量子化：几何量子化的量子版本的线性化定理量子化与减少交换第3部分。附录：符号和规范化约定李群的适当作用等变上同调稳定复形和自旋$^{\mathrm{c}}$结构的符号和抽象矩映射赋值上同调非退化抽象矩映射特征数、非退化协边和非虚量子化川崎黎曼-罗克公式横截椭圆算子的指数的协边不变性。
Introduction Part 1. Cobordism: Hamiltonian cobordism Abstract moment maps The linearization theorem Reduction and applications Part 2. Quantization: Geometric quantization The quantum version of the linearization theorem Quantization commutes with reduction Part 3. Appendices: Signs and normalization conventions Proper actions of Lie groups Equivariant cohomology Stable complex and Spin$^{\mathrm{c}}$structures Assignments and abstract moment maps Assignment cohomology Non-degenerate abstract moment maps Characteristic numbers, non-degenerate cobordisms, and non-virtual quantization The Kawasaki Riemann-Roch formula Cobordism invariance of the index of a transversally elliptic operator Bibliography Index.