Nontrivial classes in H* (Imb(S1, Rn)) from nontrivalent graph cocycles

被引：10
|
作者：
Longoni, R [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2004年 / 1卷 / 05期
关键词：
graph cohomology; knots; BF Theories;
D O I：
10.1142/S0219887804000320
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct nontrivial cohomology classes of the space Imb(S-1, R-n) of imbeddings of the circle into R-n by means of Feynman diagrams. More precisely, starting from a suitable linear combination of nontrivalent diagrams, we construct, for every even number n greater than or equal to 4, a de Rham cohomology class on Imb(S-1, R-n). We prove nontriviality of these classes by evaluation on the dual cycles.
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页码：639 / 650
页数：12
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