Higher‐dimensional algebra and topological quantum field theory
نویسندگان
چکیده
منابع مشابه
Higher-Dimensional Algebra and Topological Quantum Field Theory
The study of topological quantum field theories increasingly relies upon concepts from higher-dimensional algebra such as n-categories and n-vector spaces. We review progress towards a definition of n-category suited for this purpose, and outline a program in which n-dimensional TQFTs are to be described as n-category representations. First we describe a ‘suspension’ operation on ncategories, a...
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A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments in topology of low dimensional manifolds; the Donaldson polynomial invariants of four manifolds and the Floer groups of three manifolds appear naturally. The model may also be interesting from a physical vie...
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where we regardX as a complex manifold with respect to some choice of complex structure compatible with the hyperkähler metric (precisely how these spaces depend on this choice is a subtle matter). ForX a K3 surface, Rozansky and Witten investigated the cases g = 0 and g = 1, and exhibited an action of the mapping class group in the latter case. There is a modified TQFT constructed by Murakami ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1995
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531236