Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class

被引:5
作者
Harju, Antti J. [1 ,2 ]
Mickelsson, Jouko [2 ]
机构
[1] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland
[2] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland
关键词
Twisted K-Theory; Gerbe; Hamiltonian Quantization;
D O I
10.1017/is014007001jkt274
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Twisted K-theory on a manifold X, with twisting in the 3rd integral cohomology, is discussed in the case when X is a product of a circle T and a manifold M. The twist is assumed to be decomposable as a cup product of the basic integral one form on T and an integral class in H-2(M, Z). This case was studied some time ago by V. Mathai, R. Melrose, and I. M. Singer. Our aim is to give an explicit construction for the twisted K-theory classes using a quantum field theory model, in the same spirit as the supersymmetric Wess-Zumino-Witten model is used for constructing (equivariant) twisted K-theory classes on compact Lie groups.
引用
收藏
页码:247 / 272
页数:26
相关论文
共 17 条
[11]   Higher-degree analogs of the determinant line bundle [J].
Lott, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 230 (01) :41-69
[12]  
Mathai V, 2009, ASTERISQUE, P255
[13]   Families index theorem in supersymmetric WZW model and twisted K-theory:: The SU(2) case [J].
Mickelsson, Jouko ;
Pellonpaa, Juha-Pekka .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 271 (03) :775-789
[14]  
Mickelsson Mi. J., 2004, IRMA LECT MATH THEOR, V5
[15]  
Pressley PS. A., 1986, LOOP GROUPS
[16]  
RAEBURN I, 1988, T AM MATH SOC, V305, P1
[17]   CONTINUOUS-TRACE ALGEBRAS FROM THE BUNDLE THEORETIC POINT OF VIEW [J].
ROSENBERG, J .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1989, 47 :368-381