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Introduction Automorphisms of the affine plane A partition on $\mathbb{C}[x, y]$ The geometry of the partition The action of Aut$(\mathbb{C}^2)$ on $\mathbb{C}[x, y]$ The moduli problem The moduli spaces Appendix A. Canonical orders Bibliography.
Ch. 1.Group theory --Ch. 2.Designer homology spheres --Ch. 3.The roles of entropy --Ch. 4.The large-scale fractal geometry of Riemannian moduli space. "This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Wein…
"This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders…
"This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders…
"Moduli problems in algebraic geometry date back to Riemann's famous count of the 3g - 3 parameters needed to determine a curve of genus g. In this book, Zariski studies the moduli space of curves of the same equisingularity class."--Jacket.
Krichever and Novikov introduced certain classes of infinite dimensionalLie algebrasto extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them toa more general setting needed by the applicati…
This is the first monograph dedicated to the systematic exposition of the whole variety of topics related to quantum cohomology. The subject first originated in theoretical physics (quantum string theory) and has continued to develop extensively over the last decade. The author'…