The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)

The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical leve...

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Autor principal: Morgan, John W
Lenguaje:eng
Publicado: Princeton University Press 2014
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1953258
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author Morgan, John W
author_facet Morgan, John W
author_sort Morgan, John W
collection CERN
description The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next com
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spelling cern-19532582021-04-21T20:51:57Zhttp://cds.cern.ch/record/1953258engMorgan, John WThe Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)Mathematical Physics and Mathematics The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful and have led to a vast generalization of earlier results. This book is an introduction to the Seiberg-Witten invariants. The work begins with a review of the classical material on Spin c structures and their associated Dirac operators. Next comPrinceton University Pressoai:cds.cern.ch:19532582014
spellingShingle Mathematical Physics and Mathematics
Morgan, John W
The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)
title The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)
title_full The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)
title_fullStr The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)
title_full_unstemmed The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)
title_short The Seiberg-Witten equations and applications to the topology of smooth four-manifolds (MN-44)
title_sort seiberg-witten equations and applications to the topology of smooth four-manifolds (mn-44)
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1953258
work_keys_str_mv AT morganjohnw theseibergwittenequationsandapplicationstothetopologyofsmoothfourmanifoldsmn44
AT morganjohnw seibergwittenequationsandapplicationstothetopologyofsmoothfourmanifoldsmn44

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