BATALIN-VILKOVISKY ALGEBRAS AND 2-DIMENSIONAL TOPOLOGICAL FIELD-THEORIES

被引：176
作者：
GETZLER, E
机构：
[1] Department of Mathematics, MIT, Cambridge, 02139, MA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 159卷 / 02期
关键词：
D O I：
10.1007/BF02102639
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By a Batalin-Vilkovisky algebra, we mean a graded commutative algebra A, together with an operator DELTA: A. --> A.+1 such that DELTA2 = 0, and [DELTA, a] - DELTAa is a graded derivation of A for all a is-an-element-of A. In this article, we show that there is a natural structure of a Batalin-Vilkovisky algebra on the cohomology of a topological conformal field theory in two dimensions. We make use of a technique from algebraic topology: the theory of operads.
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页码：265 / 285
页数：21
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