We show that the normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra;as a consequence,the cohomology groups form a Batalin-Vilkovisky algebra,which is a resu...We show that the normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra;as a consequence,the cohomology groups form a Batalin-Vilkovisky algebra,which is a result due to L.Menichi.We provide ample examples.展开更多
We present a deformation theory associated to the higher Hochschild coho-mology H*_(S)^(2)(A,A).We also study a G-algebra structure associated to this deformation theory.
基金Natural Science Foundation of Gansu Province(22JR11RA138,20JR5RA249)National Natural Science Foundation of China(12071191)Funds for Innovative Fundamental Research Group Project of Gansu Province(23JRRA684)。
文摘We show that the normalized cochain complex of a nonsymmetric cyclic operad with multiplication is a Quesney homotopy BV algebra;as a consequence,the cohomology groups form a Batalin-Vilkovisky algebra,which is a result due to L.Menichi.We provide ample examples.
文摘We present a deformation theory associated to the higher Hochschild coho-mology H*_(S)^(2)(A,A).We also study a G-algebra structure associated to this deformation theory.
