双曲轨道上分层纤维空间上的D-膜
D-Branes on Spaces Stratified Fibered Over Hyperbolic Orbifolds
摘要：
我们应用同调和K-理论的方法，膜包装空间分层纤维双曲orbifolds。此外，我们还讨论了任意离散余紧李群的代数K-理论，给出了相应的同调和Atiyah-Hirzebruch型谱序列及其到K-同调的非平凡提升。我们强调这样一个事实，即物理D-膜的性质是完全透明的数学框架内的K-理论。在强虚负曲群的情况下，我们得到了D-膜稳定性的准则。我们证明了在双曲轨道上包裹分层纤维空间的膜具有荷结构，并改变了K-同调的加性结构性质。
英文摘要：
We apply the methods of homology and K-theory for branes wrapping spaces stratified fibered over hyperbolic orbifolds. In addition, we discuss the algebraic K-theory of any discrete co-compact Lie group in terms of appropriate homology and Atiyah-Hirzebruch type spectral sequence with its non-trivial lift to K-homology. We emphasize the fact that the physical D-branes properties are completely transparent within the mathematical framework of K-theory. We derive criteria for D-brane stability in the case of strongly virtually negatively curved groups. We show that branes wrapping spaces stratified fibered over hyperbolic orbifolds carry charge structure and change the additive structural properties in K-homology.
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