ON 3-DIMENSIONAL HOMOTOPY QUANTUM FIELD THEORY, I

被引:18
|
作者
Turaev, Vladimir [1 ]
Virelizier, Alexis [2 ]
机构
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[2] Univ Montpellier 2, Inst Math, CC051, F-34095 Montpellier 5, France
关键词
State-sum invariants; HQFT; graded categories; fusion categories; INVARIANTS; 3-MANIFOLDS;
D O I
10.1142/S0129167X12500942
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Given a discrete group G and a spherical G-fusion category whose neutral component has invertible dimension, we use the state-sum method to construct a 3-dimensional Homotopy Quantum Field Theory with target the Eilenberg-MacLane space K(G, 1).
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页数:28
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