{"product_id":"9780821831861-torus-actions-and-their-applications-in","title":"Torus Actions and Their Applications in Topology and Combinatorics","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eStudies torus actions on topological spaces presented as a bridge - connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology - that helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits.\u003cbr\u003eThis book presents the study of torus actions on topological spaces that is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a proper manifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements.This approach also provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of moment-angle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology. The book includes many new and well-known open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatorics and will help to establish even tighter connections between the subjects involved.\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":57151324979574,"sku":"9780821831861","price":55.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/orig_39714600_736adae9-9009-4f06-a17c-db1cc617b10e.jpg?v=1769694281","url":"https:\/\/www.rarewaves.com\/products\/9780821831861-torus-actions-and-their-applications-in","provider":"Rarewaves.com","version":"1.0","type":"link"}