Polo Sport  Polo Club  Polo ponies  Players Equipment  The field  Notable players  Handicap players Classical And Involutive Invariants Of Krull Domains RRP $546.99 This monograph is devoted to Krull domains and its invariants. The book shows how a serious study of invariants of Krull domains necessitates input from various fields of mathematics, including rings and module theory, commutative algebra, Ktheory, cohomology theory, localization theory and algebraic geometry. About half of the book is dedicated to socalled involutive invariants, such as the involutive Brauer group, and is essentially the first to cover these topics. In a structured and methodical way, the work presents a large quantity of results previously scattered throughout the literature. Audience: This volume is recommended as a first introduction to this rapidly developing subject, but will also be useful as a stateoftheart reference work, both to students at graduate and postgraduate levels and to researchers in commutative rings and algebra, algebraic Ktheory, algebraic geometry, and associative rings. Flow Lines And Algebraic Invariants In Contact Form Geometry RRP $464.99 This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudoholomorphic curves, and GromovWitten invariants (contact homology). In particular, it develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and Reeb vector fields. The book opens with a review of prior results and then proceeds through an examination of variational problems, nonFredholm behavior, true and false critical points at infinity, and topological implications. An increasing convergence with regular and singular Yamabetype problems is discussed, and the intersection between contact form and Riemannian geometry is emphasized. Rich in open problems and full, detailed proofs, this work lays the foundation for new avenues of study in contact form geometry and will benefit graduate students and researchers. RRP $354.99 In algebraic topology some classical invariants  such as Betti numbers and Reidemeister torsion  are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to noncompact spaces and infinite groups. These new L2invariants contain very interesting and novel information and can be applied to problems arising in topology, KTheory, differential geometry, noncommutative geometry and spectral theory. It is particularly these interactions with different fields that make L2invariants very powerful and exciting. The book presents a comprehensive introduction to this area of research, as well as its most recent results and developments. It is written in a way which enables the reader to pick out a favourite topic and to find the result she or he is interested in quickly and without being forced to go through other material. Search
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