Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This text explains what is behind the extraordinary success of quantum cohomology, leading to its connections with many existing areas of mathematics as well as its appearance in new areas such as mirror symmetry. Certain kinds of differential equations (or D-modules) provide the key links between quantum cohomology and traditional mathematics; these links are the main focus of the book, and quantum cohomology and other integrable PDEs such as the KdV equation and the harmonic map equation are discussed within this unified framework. Aimed at graduate students in mathematics who want to learn about quantum cohomology in a broad context, and theoretical physicists who are interested in the mathematical setting, the text assumes basic familiarity with differential equations and cohomology.
發表於2024-12-18
From Quantum Cohomology to Integrable Systems 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 數學物理 可積係統 Gromov-Witten
量子上同調 ---代數幾何和辛幾何;有理同倫論和極小模型
評分量子上同調 ---代數幾何和辛幾何;有理同倫論和極小模型
評分量子上同調 ---代數幾何和辛幾何;有理同倫論和極小模型
評分量子上同調 ---代數幾何和辛幾何;有理同倫論和極小模型
評分量子上同調 ---代數幾何和辛幾何;有理同倫論和極小模型
From Quantum Cohomology to Integrable Systems 2024 pdf epub mobi 電子書 下載