Homological perturbation theory and mirror symmetry

被引：3
|
作者：
Zhou, J [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2003年 / 19卷 / 04期
关键词：
homological perturbation theory; mirror symmetry;
D O I：
10.1007/s10114-003-0283-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We explain how deformation theories of geometric objects such as complex structures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaber or Poisson algebras. We use homological perturbation theory to construct A. algebra structures on the cohomology, and their canonically defined deformations. Such constructions are used to formulate a version of A(infinity) algebraic mirror symmetry.
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页码：695 / 714
页数：20
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