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The Floer Memorial Volume
Andreas Floer died on May 15, 1991 an untimely and tragic death. His visions and far-reaching contributions have significantly influenced the developments of mathematics. His main …
Geometry and Dynamics of Groups and Spaces
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In …
The Problem of Integrable Discretization
This title is an exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent …
Monoidal Categories and Topological Field Theory
This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront …
Arbeitstagung Bonn 2013
This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May …
First European Congress of Mathematics
Table of contents: Plenary Lectures * V.I. Arnold: The Vassiliev Theory of Discriminants and Knots * L. Babai: Transparent Proofs and Limits to Approximation * C. De Concini: …
Walks on Ordinals and Their Characteristics
The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This …
Morse Homology
1.1 Background The subject of this book is Morse homology as a combination of relative Morse theory and Conley's continuation principle. The latter will be useda s an instrument to …
Holomorphic Morse Inequalities and Bergman Kernels
This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It opens perspectives on several active …
On the Topology of Isolated Singularities in Analytic Spaces
Singularity theory stands at a cross-road of mathematics, a meeting point where manyareasofmathematicscometogether,suchasgeometry,topologyandalgebra, analysis,di?erential equations …
Determinantal Ideals
Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese …
Vanishing and Finiteness Results in Geometric Analysis
This book describes very recent results involving an extensive use of analytical tools in the study of geometrical and topological properties of complete Riemannian manifolds. It …