Homologically Twisted Invariants Related to (2+1)- and (3+1)-Dimensional State-Sum Topological Quantum Field Theories

Homologically Twisted Invariants Related to (2+1)- and (3+1)-Dimensional State-Sum Topological Quantum Field Theories
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与 (2 1) 和 (3 1) 维态和拓扑量子场论相关的同调扭曲不变量

DOI:
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发表时间:
1993
期刊:
arXiv: High Energy Physics - Theory
影响因子:
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通讯作者:
D. Yetter
D. Yetter
中科院分区:
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文献类型:
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作者:
D. Yetter

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受Paolo Cotta-Ramusino在物理层面上关于BF理论与Donaldson多项式的严谨性的建议的启发,我们提供了一个适用于*先验*精细不变量的Turaev/Viro和Crane/Yetter不变量的构造,这些不变量依赖于流形上(co)同调类的选择
Motivated by suggestions of Paolo Cotta-Ramusino's work at the physical level of rigor relating BF theory to the Donaldson polynomials, we provide a construction applicable to the Turaev/Viro and Crane/Yetter invariants of *a priori* finer invariants dependent on a choice of (co)homology class on the manifold