扩张上同调场论与非对易Frobenius流形
Extention cohomological fields theories and noncommutative Frobenius manifolds
摘要:
我们构造了上同调场论的一些推广({ \it稳定场论}).稳定场论是一个系统的同态的一些向量空间所产生的球和磁盘的穿刺。它由一个形式张量级数描述,满足某种“微分方程”系统。在收敛点的张量系列产生特殊的非交换类似的弗罗贝纽斯代数,描述“开闭”拓扑场论。
英文摘要:
We construct some extension ({\it Stable Field Theory}) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some vector spaces generated by spheres and disks with punctures. It is described by a formal tensor series, satisfying to some system of "differential equations". In points of convergence the tensor series generate special noncommutative analogues of Frobenius algebras, describing 'Open-Closed' Topological Field Theories.
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