Introduction to ??-invariants, Holger Kammeyer

Автор: Chmutov
Название: Introduction to Vassiliev Knot Invariants
ISBN: 1107020832 ISBN-13(EAN): 9781107020832
Издательство: Cambridge Academ
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Цена: 53960.00 T
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Описание: This detailed exposition of a relatively recent development in knot theory, namely, the theory of Vassiliev knot invariants, is intended to serve both as a textbook for readers with little background in this area, and as a guide to some of the more advanced material.

Автор: Roe Goodman; Nolan R. Wallach
Название: Symmetry, Representations, and Invariants
ISBN: 1441927298 ISBN-13(EAN): 9781441927293
Издательство: Springer
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Цена: 55850.00 T
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Описание: This book is a significant reworking of an earlier work by the authors. It offers a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that includes a broader range of applications.

Автор: Hillman Jonathan
Название: Algebraic Invariants Of Links (2Nd Edition)
ISBN: 9814407380 ISBN-13(EAN): 9789814407380
Издательство: World Scientific Publishing
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Цена: 126720.00 T
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Описание: Serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. This second edition introduces two new chapters - twisted polynomial invariants and singularities of plane curves. Each replaces brief sketches in the first edition.

Автор: David M. Jackson; Iain Moffatt
Название: An Introduction to Quantum and Vassiliev Knot Invariants
ISBN: 3030052125 ISBN-13(EAN): 9783030052126
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Поставка под заказ.
Описание: This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant. Consisting of four parts, the book opens with an introduction to the fundamentals of knot theory, and to knot invariants such as the Jones polynomial. The second part introduces quantum invariants of knots, working constructively from first principles towards the construction of Reshetikhin-Turaev invariants and a description of how these arise through Drinfeld and Jimbo's quantum groups. Its third part offers an introduction to Vassiliev invariants, providing a careful account of how chord diagrams and Jacobi diagrams arise in the theory, and the role that Lie algebras play. The final part of the book introduces the Konstevich invariant. This is a universal quantum invariant and a universal Vassiliev invariant, and brings together these two seemingly different families of knot invariants. The book provides a detailed account of the construction of the Jones polynomial via the quantum groups attached to sl(2), the Vassiliev weight system arising from sl(2), and how these invariants come together through the Kontsevich invariant.

Автор: John D. Moore
Название: Lectures on Seiberg-Witten Invariants
ISBN: 3540412212 ISBN-13(EAN): 9783540412212
Издательство: Springer
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Цена: 32560.00 T
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Описание: An introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure, and that others have no smooth structure at all.

Автор: Li Weiping
Название: Lecture Notes On Knot Invariants
ISBN: 9814675954 ISBN-13(EAN): 9789814675956
Издательство: World Scientific Publishing
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Цена: 65470.00 T
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Описание: The volume is focused on the basic calculation skills of various knot invariants defined from topology and geometry.

Автор: Haruzo Hida
Название: Elliptic Curves and Arithmetic Invariants
ISBN: 1489990925 ISBN-13(EAN): 9781489990921
Издательство: Springer
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Цена: 88500.00 T
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Описание: This introduction to Shimura varieties covers key topics including non-triviality of arithmetic invariants and special values of L-functions; elliptic curves over complex and p-adic fields; Hecke algebras; elliptic and modular curves over rings and more.

Автор: Abbas Bahri
Название: Flow Lines and Algebraic Invariants in Contact Form Geometry
ISBN: 1461265762 ISBN-13(EAN): 9781461265764
Издательство: Springer
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Цена: 46570.00 T
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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).

Автор: Victor Guillemin
Название: Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
ISBN: 0817637702 ISBN-13(EAN): 9780817637705
Издательство: Springer
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Цена: 144410.00 T
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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.

Автор: Ben Webster
Название: Knot Invariants and Higher Representation Theory
ISBN: 1470426501 ISBN-13(EAN): 9781470426507
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: The author constructs knot invariants categorifying the quantum knot variants for all representations of quantum groups. He shows that these invariants coincide with previous invariants defined by Khovanov for $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$ and by Mazorchuk-Stroppel and Sussan for $\mathfrak{sl}_n$.

Автор: Erica Flapan, Allison Henrich, Aaron Kaestner, Sam Nelson
Название: Knots, Links, Spatial Graphs, and Algebraic Invariants
ISBN: 1470428474 ISBN-13(EAN): 9781470428471
Издательство: Mare Nostrum (Eurospan)
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Цена: 110880.00 T
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Описание: Contains the proceedings of the AMS Special Session on Algebraic and Combinatorial Structures in Knot Theory and the AMS Special Session on Spatial Graphs. Included are articles that draw on techniques from geometry and algebra to address topological problems about knot theory and spatial graph theory, and their combinatorial generalizations to equivalence classes of diagrams.

Автор: Emil Prodan; Hermann Schulz-Baldes
Название: Bulk and Boundary Invariants for Complex Topological Insulators
ISBN: 3319293508 ISBN-13(EAN): 9783319293509
Издательство: Springer
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Цена: 65210.00 T
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Описание: This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.