Invariants And Pictures: Low-dimensional Topology And Combinatorial Group Theory, Denis Fedoseev, Igor Nikonov, Seongjeong Kim, Vassily Olegovich Manturov
Автор: R.V. Gamkrelidze; Nikolai Saveliev; A. Vassiiev Название: Invariants of Homology 3-Spheres ISBN: 3642078494 ISBN-13(EAN): 9783642078491 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism.
Автор: Holger Kammeyer Название: Introduction to ??-invariants ISBN: 3030282961 ISBN-13(EAN): 9783030282967 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book introduces the reader to the most important concepts and problems in the field of ??-invariants. After some foundational material on group von Neumann algebras, ??-Betti numbers are defined and their use is illustrated by several examples. The text continues with Atiyah's question on possible values of ??-Betti numbers and the relation to Kaplansky's zero divisor conjecture. The general definition of ??-Betti numbers allows for applications in group theory. A whole chapter is dedicated to L?ck's approximation theorem and its generalizations. The final chapter deals with ??-torsion, twisted variants and the conjectures relating them to torsion growth in homology.
The text provides a self-contained treatment that constructs the required specialized concepts from scratch. It comes with numerous exercises and examples, so that both graduate students and researchers will find it useful for self-study or as a basis for an advanced lecture course.
Описание: The action of a compact Lie group, G, on a compact sympletic manifold gives rise to some remarkable combinatorial invariants. The simplest and most interesting of these is the moment polytopes, a convex polyhedron which sits inside the dual of the Lie algebra of G. This book is suitable for researchers and can be used as a semester text.
Описание: Develops various enhancements of the theory of spectral invariants of Hamiltonian Floer homology and of Entov-Polterovich theory of spectral symplectic quasi-states and quasi-morphisms by incorporating bulk deformations - i.e. deformations by ambient cycles of symplectic manifolds, of the Floer homology and quantum cohomology.
Описание: This book presents an alternative to what the topologists refer to as "Morse-Novikov theory", a mathematical theory which belongs to the fields of geometry and topology.
Автор: Li Weiping Название: Lecture Notes on Knot Invariants ISBN: 9814675962 ISBN-13(EAN): 9789814675963 Издательство: World Scientific Publishing Рейтинг: Цена: 5069.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry. It presents the detailed Hecke algebra and braid representation to illustrate the original Jones polynomial (rather than the algebraic formal definition many other books and research articles use) and provides self-contained proofs of the Tait conjecture (one of the big achievements from the Jones invariant). It also presents explicit computations to the Casson-Lin invariant via braid representations.
With the approach of an explicit computational point of view on knot invariants, this user-friendly volume will benefit readers to easily understand low-dimensional topology from examples and computations, rather than only knowing terminologies and theorems.
Автор: Li Weiping Название: Lecture Notes On Knot Invariants ISBN: 9814675954 ISBN-13(EAN): 9789814675956 Издательство: World Scientific Publishing Рейтинг: Цена: 9821.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry.
Описание: 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 non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. It is particularly these interactions with different fields that make L2-invariants 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.
Автор: M.V. Reyes S?nchez; A. Verschoren Название: Classical and Involutive Invariants of Krull Domains ISBN: 9401064946 ISBN-13(EAN): 9789401064941 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Abbas Bahri Название: Flow Lines and Algebraic Invariants in Contact Form Geometry ISBN: 1461265762 ISBN-13(EAN): 9781461265764 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).
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