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

来源：

JOURNAL OF K-THEORY | 2013年 / 12卷 / 02期

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

页码：257 / 271

页数：15

共 27 条

[1]

[Anonymous], 1998, Quantum Groups and their Representations

[2]

[Anonymous], 2003, Banach Center Publ.

[3]

[Anonymous], 1994, NONCOMMUTATIVE GEOME

[4]

Cartan H., 1956, Homological algebra

[5] On equivariant Dirac operators for SUq(2) [J].

Chakraborty, Partha Sarathi ;

Pal, Arupkumar .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2006, 116 (04) :531-541

[6]

Cherednik Ivan., 2001, SELECTA MATH, V7, P447

[7] THE LOCAL INDEX FORMULA IN NONCOMMUTATIVE GEOMETRY [J].

CONNES, A ;

MOSCOVICI, H .

GEOMETRIC AND FUNCTIONAL ANALYSIS, 1995, 5 (02) :174-243

[8]

Connes A., 2008, Traces in number theory, geometry and quantum fields, VE38, P57

[9] The noncommutative geometry of the quantum projective plane [J].

D'Andrea, Francesco ;

Dabrowski, Ludwik ;

Landi, Giovanni .

REVIEWS IN MATHEMATICAL PHYSICS, 2008, 20 (08) :979-1006

[10]

Da browski L., 2003, Banach Centre Publ., V61, P49

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