{"title":"Daniel T Wise","description":null,"products":[{"product_id":"structure-of-groups-with-a-quasiconvex-hierarchy-book-daniel-t-wise-9780691170459","title":"The Structure of Groups with a Quasiconvex Hierarchy","description":"This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes ideas from the 1960s, a version of Dehn Filling that functions in the category of special cube complexes, and a variety of results about right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible as amalgams.  The applications described here include the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, this work establishes a cubical program for resolving Thurston's conjectures on hyperbolic 3-manifolds, and validates this program in significant cases. Illustrated with more than 150 color figures, this book will interest graduate students and researchers working in geometry, algebra, and topology.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49738908565777,"sku":"NGR9780691170459","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0691170452.jpg?v=1750912370"},{"product_id":"structure-of-groups-with-a-quasiconvex-hierarchy-book-daniel-t-wise-9780691170442","title":"The Structure of Groups with a Quasiconvex Hierarchy","description":"This monograph on the applications of cube complexes constitutes a breakthrough in the fields of geometric group theory and 3-manifold topology. Many fundamental new ideas and methodologies are presented here for the first time, including a cubical small-cancellation theory that generalizes ideas from the 1960s, a version of Dehn Filling that functions in the category of special cube complexes, and a variety of results about right-angled Artin groups. The book culminates by establishing a remarkable theorem about the nature of hyperbolic groups that are constructible as amalgams.  The applications described here include the virtual fibering of cusped hyperbolic 3-manifolds and the resolution of Baumslag's conjecture on the residual finiteness of one-relator groups with torsion. Most importantly, this work establishes a cubical program for resolving Thurston's conjectures on hyperbolic 3-manifolds, and validates this program in significant cases. Illustrated with more than 150 color figures, this book will interest graduate students and researchers working in geometry, algebra, and topology.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":53392240279825,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":53392240541969,"sku":"NIN9780691170442","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780691170442.jpg?v=1775712274"}],"url":"https:\/\/www.worldofbooks.com\/en-ie\/collections\/author-books-by-daniel-t-wise.oembed","provider":"World of Books ","version":"1.0","type":"link"}