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.
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页码：1029 / 1061
页数：33
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