On The Topology Of Isolated Singularities In Analytic Spaces PDF Download
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Author | : José Seade |
Publisher | : Springer Science & Business Media |
Total Pages | : 243 |
Release | : 2006-03-21 |
Genre | : Mathematics |
ISBN | : 3764373954 |
Download On the Topology of Isolated Singularities in Analytic Spaces Book in PDF, ePub and Kindle
Offers an overview of selected topics on the topology of singularities, with emphasis on its relations to other branches of geometry and topology. This book studies real analytic singularities which arise from the topological and geometric study of holomorphic vector fields and foliations.
Author | : José Luis Cisneros-Molina |
Publisher | : Springer Nature |
Total Pages | : 581 |
Release | : 2021-11-01 |
Genre | : Mathematics |
ISBN | : 3030780244 |
Download Handbook of Geometry and Topology of Singularities II Book in PDF, ePub and Kindle
This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory and related topics. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.
Author | : Shihoko Ishii |
Publisher | : Springer |
Total Pages | : 236 |
Release | : 2018-09-21 |
Genre | : Mathematics |
ISBN | : 4431568379 |
Download Introduction to Singularities Book in PDF, ePub and Kindle
This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.
Author | : David B. Massey |
Publisher | : American Mathematical Soc. |
Total Pages | : 288 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821832808 |
Download Numerical Control over Complex Analytic Singularities Book in PDF, ePub and Kindle
Generalizes the Le cycles and numbers to the case of hyper surfaces inside arbitrary analytic spaces. This book defines the Le-Vogel cycles and numbers, and prove that the Le-Vogel numbers control Thom's $a_f$ condition. It describes the relationship between the Euler characteristic of the Milnor fibre and the Le-Vogel numbers.
Author | : Jean-paul Brasselet |
Publisher | : World Scientific |
Total Pages | : 917 |
Release | : 2007-01-16 |
Genre | : Mathematics |
ISBN | : 9814477044 |
Download Singularities In Geometry And Topology - Proceedings Of The Trieste Singularity Summer School And Workshop Book in PDF, ePub and Kindle
Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Author | : Martin R. Bridson |
Publisher | : |
Total Pages | : 352 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 9780198507727 |
Download Invitations to Geometry and Topology Book in PDF, ePub and Kindle
This volume presents an array of topics that introduce the reader to key ideas in active areas in geometry and topology. The material is presented in a way that both graduate students and researchers should find accessible and enticing. The topics covered range from Morse theory and complex geometry theory to geometric group theory, and are accompanied by exercises that are designed to deepen the reader's understanding and to guide them in exciting directions for future investigation.
Author | : José Ignacio Cogolludo-Agustín |
Publisher | : American Mathematical Soc. |
Total Pages | : 496 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821848909 |
Download Topology of Algebraic Varieties and Singularities Book in PDF, ePub and Kindle
This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.
Author | : Jean-Paul Brasselet |
Publisher | : World Scientific |
Total Pages | : 918 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 981270681X |
Download Singularities in Geometry and Topology Book in PDF, ePub and Kindle
Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology. The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Author | : Victor Goryunov |
Publisher | : American Mathematical Soc. |
Total Pages | : 218 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0821853597 |
Download Real and Complex Singularities Book in PDF, ePub and Kindle
"This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26-30, 2010, in Sao Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal."--P. [4] of cover.
Author | : Vladimir Turaev |
Publisher | : Birkhäuser |
Total Pages | : 513 |
Release | : 2017-06-28 |
Genre | : Mathematics |
ISBN | : 3319498347 |
Download Monoidal Categories and Topological Field Theory Book in PDF, ePub and Kindle
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 of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category. The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.