A residue formula for the fundamental Hochschild class on the Podles sphere

被引:7
作者
Kraehmer, Ulrich [1 ]
Wagner, Elmar [2 ]
机构
[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland
[2] Univ Michoacana, Inst Fis & Matemat, Morelia 58040, Michoacan, Mexico
关键词
quantum sphere; Hochschild cohomology; fundamental class; residue formulas; LOCAL INDEX FORMULA; DIRAC OPERATORS; QUANTUM;
D O I
10.1017/is013001019jkt199
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The fundamental Hochschild cohomology class of the standard Podle quantum sphere is expressed in terms of the spectral triple of Dabrowski and Sitarz by means of a residue formula.
引用
收藏
页码:257 / 271
页数:15
相关论文
共 27 条
[11]  
Dabrowski L, 2007, J NONCOMMUT GEOM, V1, P213
[12]  
Dabrowski Ludwik, 2008, ASPECTS MATH E, P99
[13]  
Decker Wolfram, 2007, J GEOM PHYS
[14]  
Higson N, 2004, CONTEMP MATH, V365, P129
[15]   On the Hochschild (co)homology of quantum homogeneous spaces [J].
Kraehmer, Ulrich .
ISRAEL JOURNAL OF MATHEMATICS, 2012, 189 (01) :237-266
[16]  
Krähmer U, 2008, ARAB J SCI ENG, V33, P325
[17]   Dirac operators on quantum flag manifolds [J].
Krähmer, U .
LETTERS IN MATHEMATICAL PHYSICS, 2004, 67 (01) :49-59
[18]  
KRAHMER U, 2007, P C NEW TECHN HOPF A, P117
[19]  
Loday J.-L., 1998, CYCLIC HOMOLOGY
[20]  
Masuda T., 1991, K-THEORY, V5, P151