TENSOR PRODUCT OF CYCLIC A∞-ALGEBRAS AND THEIR KONTSEVICH CLASSES

被引：1

作者：

Amorim, Lino ^{[1
]}

Tu, Junwu ^{[2
]}

机构：

[1] Univ Oxford, Math Inst, Andrew Wiles Bldg,Radcliffe Observ Quarter, Oxford OX2 6GG, England

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 371卷 / 02期

关键词：

COHOMOLOGY; HOMOLOGY; SPACE;

D O I：

10.1090/tran/7321

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given two cyclic A(infinity)-algebras A and B, in this paper we prove that there exists a cyclic A(infinity)-algebra structure on their tensor product A circle times B which is unique up to a cyclic A(infinity)-quasi-isomorphism. Furthermore, the Kontsevich class of A circle times B is equal to the cup product of the Kontsevich classes of A and B on the moduli space of curves.

引用

页码：1029 / 1061

页数：33

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