Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

通过非对易几何与理论物理的合作研究，我们得到了许多结果，即关于非对易规范理论、p-进的岩泽理论、量子Toda格的代数可积性、Bernstein测度、弦理论和广义复结构、量子上同调和Frobenius流形、辛拓扑和接触拓扑的建议。这些成果已在国际会议上发表，并作为专著发表在《非对易几何与物理》、《纯数学研究进展55》、《数学专著翻译，237》中，也由研究人员个人出版。

We obtain many results through the cooperation researches between noncommutative geometry and theoretical physics, namely for proposals on noncommutative gauge theory, p-adic Iwasawa theory, algebraic integrability for quantum Toda lattice, Bernstein measure, string theory and generalized complex structure, quantum cohomology and Frobenius manifolds, symplectic topology and contact topology. The results has been presented by the international conferences and published as monographs in 「Noncommutative Geometry and Physics」, 「Advaned Studies in Pure Mathematics 55」, 「Translations of Mathematical Monographs, 237」 and also published by individual researchers.