Frobenius manifolds and moduli spaces for singularities: Frontmatter
Frobenius manifolds and moduli spaces for singularities: Frontmatter
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DOI：
10.1017/cbo9780511543104
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
C. Hertling
中科院分区：
文献类型：
--
作者：
C. Hertling
弗罗贝纽斯流形和奇异性理论之间的关系在这里处理严格但方便的方式。对于那些工作在奇点理论或其他领域的复杂几何，这本书将打开大门的研究弗罗贝纽斯流形。这类流形现在被认为与奇点理论、量子上同调、镜像对称、辛几何和可积系统的研究有关。第一部分的书解释了理论的流形与乘法的切丛。第二个提出了一个简化的解释的作用Frobenius流形在奇点理论沿着所有必要的工具和几个应用。读者会发现在这里一个仔细和健全的研究的基本结构和结果，在这个令人兴奋的分支的数学。这本书将作为一个很好的资源，为研究人员和研究生谁希望在这一领域的工作。
The relations between Frobenius manifolds and singularity theory are treated here in a rigorous yet accessible manner. For those working in singularity theory or other areas of complex geometry, this book will open the door to the study of Frobenius manifolds. This class of manifolds are now known to be relevant for the study of singularity theory, quantum cohomology, mirror symmetry, symplectic geometry and integrable systems. The first part of the book explains the theory of manifolds with a multiplication on the tangent bundle. The second presents a simplified explanation of the role of Frobenius manifolds in singularity theory along with all the necessary tools and several applications. Readers will find here a careful and sound study of the fundamental structures and results in this exciting branch of maths. This book will serve as an excellent resource for researchers and graduate students who wish to work in this area.