{"product_id":"torus-actions-and-their-applications-in-topology-and-combinatorics","title":"Torus Actions and Their Applications in Topology and Combinatorics","description":"This 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.","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":56640854065496,"sku":"9780821831861","price":71.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780821831861.jpg?v=1780112764","url":"https:\/\/agendabookshop.com\/products\/torus-actions-and-their-applications-in-topology-and-combinatorics","provider":"Agenda Bookshop","version":"1.0","type":"link"}