Variations on a Theme of Borel - 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 Variations on a Theme of Borel write by Shmuel Weinberger. This book was released on 2022-12-08. Variations on a Theme of Borel available in PDF, EPUB and Kindle. In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity for aspherical manifolds (i.e. manifolds with contractible universal covers). The Borel conjecture is now one of the central problems of topology with many implications for manifolds that need not be aspherical. Since then, the theory of rigidity has vastly expanded in both precision and scope. This book rethinks the implications of accepting his heuristic as a source of ideas. Doing so leads to many variants of the original conjecture - some true, some false, and some that remain conjectural. The author explores this collection of ideas, following them where they lead whether into rigidity theory in its differential geometric and representation theoretic forms, or geometric group theory, metric geometry, global analysis, algebraic geometry, K-theory, or controlled topology.
Variations on a Theme of Borel
Variations on a Theme of Borel - 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 Variations on a Theme of Borel write by Shmuel Weinberger. This book was released on 2022-11-30. Variations on a Theme of Borel available in PDF, EPUB and Kindle. Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.
Advances in Noncommutative Geometry
Advances in Noncommutative Geometry - 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 Advances in Noncommutative Geometry write by Ali Chamseddine. This book was released on 2020-01-13. Advances in Noncommutative Geometry available in PDF, EPUB and Kindle. This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. The pertinence and potency of new concepts and methods are concretely illustrated in each contribution. Much of the content is a direct outgrowth of the Noncommutative Geometry conference, held March 23–April 7, 2017, in Shanghai, China. The conference covered the latest research and future areas of potential exploration surrounding topology and physics, number theory, as well as index theory and its ramifications in geometry.
Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory - 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 Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory write by Chris Wendl. This book was released on 2020-03-26. Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory available in PDF, EPUB and Kindle. Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's recent extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings. Based on a series of lectures for graduate students in topology, this book begins with an overview of the closed case, and then proceeds to explain the essentials of Siefring's intersection theory and how to use it, and gives some sample applications in low-dimensional symplectic and contact topology. The appendices provide valuable information for researchers, including a concise reference guide on Siefring's theory and a self-contained proof of a weak version of the Micallef–White theorem.
Coarse Geometry of Topological Groups
Coarse Geometry of Topological Groups - 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 Coarse Geometry of Topological Groups write by Christian Rosendal. This book was released on 2021-12-16. Coarse Geometry of Topological Groups available in PDF, EPUB and Kindle. Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.
