Strong homotopy inner product of an A∞-algebra
Strong homotopy inner product of an A∞-algebra
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A∞-代数的强同伦内积
DOI：
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发表时间：
2010
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通讯作者：
Cheol
中科院分区：
文献类型：
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作者：
Cheol
引入了A-∞-代数的循环对称内积的强同伦概念，证明了Tradler关于无穷内积形式的一个刻画定理。我们还证明了它等价于相应的形式非对易超流形上的非常数辛结构的概念。证明了循环滤子A∞-代数的(开Gromov-Witten型)势在循环滤子A∞-同态下是不变的，直到重参数化、圈化和常数加法，推广了Kajiura的工作.
We introduce a strong homotopy notion of a cyclic symmetric inner product of an A ∞ -algebra and prove a characterization theorem in the formalism of the infinity inner products by Tradler. We also show that it is equivalent to the notion of a nonconstant symplectic structure on the corresponding formal noncommutative supermanifold. We show that (open Gromov-Witten type) potential for a cyclic filtered A ∞ -algebra is invariant under the cyclic filtered A ∞ -homomorphism up to reparameterization, cyclization, and a constant addition, generalizing the work of Kajiura.