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Gluing Seiberg-Witten Moduli Spaces: a mathematical approach - Couverture souple

Safari, Pedram

 
9783838327631: Gluing Seiberg-Witten Moduli Spaces: a mathematical approach
Couverture souple
ISBN 10 : 3838327632 ISBN 13 : 9783838327631
Editeur : LAP LAMBERT Academic Publishing, 2010

Synopsis

In 1994, Seiberg and Witten introduced new sets of invariants for four-manifolds, which were considerably more tractable than Donaldson's and led to new advances in geometry and topology in dimension 4. Methods have been developed to understand the nature of these invariants in greater depth, and this book is a step in that direction, where we discuss how to glue monopoles in a quite general setting, and the conditions under which this is possible. This will result in a local fiber-product description for the moduli space when the 4-manifold under consideration is split into two pieces along a separating 3-dimensional sub-manifold, and will give us a great deal of insight into the structure of Seiberg-Witten moduli spaces. The book should be accessible to graduate students and mathematicians working in this field.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In 1994, Seiberg and Witten introduced new sets of invariants for four-manifolds, which were considerably more tractable than Donaldson's and led to new advances in geometry and topology in dimension 4. Methods have been developed to understand the nature of these invariants in greater depth, and this book is a step in that direction, where we discuss how to glue monopoles in a quite general setting, and the conditions under which this is possible. This will result in a local fiber-product description for the moduli space when the 4-manifold under consideration is split into two pieces along a separating 3-dimensional sub-manifold, and will give us a great deal of insight into the structure of Seiberg-Witten moduli spaces. The book should be accessible to graduate students and mathematicians working in this field.

Biographie de l'auteur

Pedram Safari received his PhD in mathematics from Columbia University and his research interest includes Differential Geometry and Mathematical Physics. He has been a postdoctoral fellow at a few research institutes worldwide and is currently at Harvard University.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2010
Langue
anglais
ISBN 10 
3838327632
ISBN 13 
9783838327631
Reliure
Broché
Nombre de pages
60
Coordonnées du fabricant
non disponible
Personne responsable
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