Geometry and topology of wild translation surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and topology of wild translation surfaces write by Randecker, Anja. This book was released on 2016-04-28. Geometry and topology of wild translation surfaces available in PDF, EPUB and Kindle. A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related.
Geometry and Topology of Wild Translation Surfaces
Geometry and Topology of Wild Translation Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry and Topology of Wild Translation Surfaces write by Anja Randecker. This book was released on 2020-10-09. Geometry and Topology of Wild Translation Surfaces available in PDF, EPUB and Kindle. A translation surface is a two-dimensional manifold, equipped with a translation structure. It can be obtained by considering Euclidean polygons and identifying their edges via translations. The vertices of the polygons form singularities if the translation structure can not be extended to them. We study translation surfaces with wild singularities, regarding the topology (genus and space of ends), the geometry (behavior of the singularities), and how the topology and the geometry are related. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.
In the Tradition of Thurston
In the Tradition of Thurston - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook In the Tradition of Thurston write by Ken’ichi Ohshika. This book was released on 2020-12-07. In the Tradition of Thurston available in PDF, EPUB and Kindle. This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston’s wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.
Surface Topology
Surface Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surface Topology write by P. A. Firby. This book was released on 1982. Surface Topology available in PDF, EPUB and Kindle.
Surfaces in 4-Space
Surfaces in 4-Space - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surfaces in 4-Space write by Scott Carter. This book was released on 2013-06-29. Surfaces in 4-Space available in PDF, EPUB and Kindle. Surfaces in 4-Space, written by leading specialists in the field, discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. The last chapter comprises many recent results, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included. This book contains many new illustrations of knotted surface diagrams. The reader of the book will become intimately aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case. As a survey, the book is a guide book to the extensive literature on knotted surfaces and will become a useful reference for graduate students and researchers in mathematics and physics.
