A Generalization of Massey Products with Applications to Deformation Theory

A Generalization of Massey Products with Applications to Deformation Theory PDF Author: Lynelle Melisa Lang
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

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Book Description

A Generalization of Massey Products with Applications to Deformation Theory

A Generalization of Massey Products with Applications to Deformation Theory PDF Author: Lynelle Melisa Lang
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

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Book Description


Noncommutative Deformation Theory

Noncommutative Deformation Theory PDF Author: Eivind Eriksen
Publisher: CRC Press
ISBN: 1351652125
Category : Mathematics
Languages : en
Pages : 382

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Book Description
Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.

Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 860

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Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1084

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Reviews in Ring Theory, 1980-84

Reviews in Ring Theory, 1980-84 PDF Author: Lance W. Small
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 712

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Cohomology Operations and Applications in Homotopy Theory

Cohomology Operations and Applications in Homotopy Theory PDF Author: Robert E. Mosher
Publisher: Courier Corporation
ISBN: 0486466647
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.

Cubical Homotopy Theory

Cubical Homotopy Theory PDF Author: Brian A. Munson
Publisher: Cambridge University Press
ISBN: 1107030250
Category : Mathematics
Languages : en
Pages : 649

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Book Description
A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

Hopf Algebras and Tensor Categories

Hopf Algebras and Tensor Categories PDF Author: Nicolás Andruskiewitsch
Publisher: American Mathematical Soc.
ISBN: 0821875647
Category : Mathematics
Languages : en
Pages : 347

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Book Description
This volume contains the proceedings of the Conference on Hopf Algebras and Tensor Categories, held July 4-8, 2011, at the University of Almeria, Almeria, Spain. The articles in this volume cover a wide variety of topics related to the theory of Hopf algebras and its connections to other areas of mathematics. In particular, this volume contains a survey covering aspects of the classification of fusion categories using Morita equivalence methods, a long comprehensive introduction to Hopf algebras in the category of species, and a summary of the status to date of the classification of Hopf algebras of dimensions up to 100. Among other topics discussed in this volume are a study of normalized class sum and generalized character table for semisimple Hopf algebras, a contribution to the classification program of finite dimensional pointed Hopf algebras, relations to the conjecture of De Concini, Kac, and Procesi on representations of quantum groups at roots of unity, a categorical approach to the Drinfeld double of a braided Hopf algebra via Hopf monads, an overview of Hom-Hopf algebras, and several discussions on the crossed product construction in different settings.

Knot Theory and Its Applications

Knot Theory and Its Applications PDF Author: Kunio Murasugi
Publisher: Springer Science & Business Media
ISBN: 0817647198
Category : Mathematics
Languages : en
Pages : 348

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Book Description
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.

A Concise Course in Algebraic Topology

A Concise Course in Algebraic Topology PDF Author: J. P. May
Publisher: University of Chicago Press
ISBN: 9780226511832
Category : Mathematics
Languages : en
Pages : 262

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Book Description
Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.