Author: P. B. Kronheimer
Publisher:
ISBN: 9780511374876
Category :
Languages : en
Pages : 796
Book Description
Monopoles and Three-Manifolds
Author: Peter Kronheimer
Publisher:
ISBN: 9780521880220
Category : Mathematics
Languages : en
Pages : 796
Book Description
This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten equations. Suitable for beginning graduate students and researchers in the field, this book provides a full discussion of a central part of the study of the topology of manifolds.
Publisher:
ISBN: 9780521880220
Category : Mathematics
Languages : en
Pages : 796
Book Description
This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten equations. Suitable for beginning graduate students and researchers in the field, this book provides a full discussion of a central part of the study of the topology of manifolds.
Monopoles and Three-manifolds
Author: P. B. Kronheimer
Publisher:
ISBN: 9780511374876
Category :
Languages : en
Pages : 796
Book Description
Publisher:
ISBN: 9780511374876
Category :
Languages : en
Pages : 796
Book Description
Monopoles and Three-Manifolds
Author: Peter Kronheimer
Publisher: Cambridge University Press
ISBN: 9780521184762
Category : Mathematics
Languages : en
Pages : 808
Book Description
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg-Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides the first full discussion of a central part of the study of the topology of manifolds since the mid 1990s.
Publisher: Cambridge University Press
ISBN: 9780521184762
Category : Mathematics
Languages : en
Pages : 808
Book Description
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg-Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail. Two final chapters are devoted to the calculation of Floer groups and to applications of the theory in topology. Suitable for beginning graduate students and researchers, this book provides the first full discussion of a central part of the study of the topology of manifolds since the mid 1990s.
Monopoles and Three-manifolds
Author: Kronheimer P B Mrowka Tomasz
Publisher:
ISBN: 9780511379093
Category : Mathematics
Languages : en
Pages : 810
Book Description
This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Publisher:
ISBN: 9780511379093
Category : Mathematics
Languages : en
Pages : 810
Book Description
This work provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole equations.
Monopoles on 3-manifolds
Author: Ian McAllister
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Magnetic Monopoles and Hyperbolic Three-manifolds
Author: Peter J. Braam
Publisher:
ISBN:
Category : Magnetic monopoles
Languages : en
Pages : 290
Book Description
Publisher:
ISBN:
Category : Magnetic monopoles
Languages : en
Pages : 290
Book Description
Monopoles on 3-manifolds
Author: Stuart James Jarvis
Publisher:
ISBN:
Category : Manifolds (Mathematics)
Languages : en
Pages : 198
Book Description
Publisher:
ISBN:
Category : Manifolds (Mathematics)
Languages : en
Pages : 198
Book Description
Lectures on the Topology of 3-Manifolds
Author: Nikolai Saveliev
Publisher: Walter de Gruyter
ISBN: 3110250365
Category : Mathematics
Languages : en
Pages : 220
Book Description
Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highlights of this period was Casson's λ-invariant that was instrumental in proving the vanishing of the Rohlin invariant of homotopy 3-spheres. The proof of the three-dimensional Poincaré conjecture has rendered this application moot but hardly made Casson's contribution less relevant: in fact, a lot of modern day topology, including a multitude of Floer homology theories, can be traced back to his λ-invariant. The principal goal of this book, now in its second revised edition, remains providing an introduction to the low-dimensional topology and Casson's theory; it also reaches out, when appropriate, to more recent research topics. The book covers some classical material, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It then proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and concludes with a brief overview of recent developments. The book will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic and differential topology, including the fundamental group, basic homology theory, transversality, and Poincaré duality on manifolds.
Publisher: Walter de Gruyter
ISBN: 3110250365
Category : Mathematics
Languages : en
Pages : 220
Book Description
Progress in low-dimensional topology has been very quick in the last three decades, leading to the solutions of many difficult problems. Among the earlier highlights of this period was Casson's λ-invariant that was instrumental in proving the vanishing of the Rohlin invariant of homotopy 3-spheres. The proof of the three-dimensional Poincaré conjecture has rendered this application moot but hardly made Casson's contribution less relevant: in fact, a lot of modern day topology, including a multitude of Floer homology theories, can be traced back to his λ-invariant. The principal goal of this book, now in its second revised edition, remains providing an introduction to the low-dimensional topology and Casson's theory; it also reaches out, when appropriate, to more recent research topics. The book covers some classical material, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It then proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and concludes with a brief overview of recent developments. The book will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic and differential topology, including the fundamental group, basic homology theory, transversality, and Poincaré duality on manifolds.
Magnetic Monopoles on Three-manifolds
Author: P. J. Braam
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 64
Book Description
Monopoles on 3-manifold
Author: Ian Gerard McAllister
Publisher:
ISBN:
Category : Magnetic monopoles
Languages : en
Pages : 174
Book Description
Publisher:
ISBN:
Category : Magnetic monopoles
Languages : en
Pages : 174
Book Description