An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants

The authors prove an analogue of the Kotschick-Morgan Conjecture in the context of \mathrm{SO(3)} monopoles, obtaining a formula relating the Donaldson and Seiberg-Witten invariants of smooth four-manifolds using the \mathrm{SO(3)}-monopole cobordism. The main technical difficulty in the \mathrm{SO(...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Feehan, Paul
Otros Autores: Leness, Thomas G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2019.
Colección:Memoirs of the American Mathematical Society Ser.
Temas:
Cobordism theory.
Four-manifolds (Topology)
Seiberg-Witten invariants.
Théorie des cobordismes.
Variétés topologiques à 4 dimensions.
Invariants de Seiberg-Witten.
Cobordism theory
Seiberg-Witten invariants
Acceso en línea:Texto completo
Descripción
Sumario:The authors prove an analogue of the Kotschick-Morgan Conjecture in the context of \mathrm{SO(3)} monopoles, obtaining a formula relating the Donaldson and Seiberg-Witten invariants of smooth four-manifolds using the \mathrm{SO(3)}-monopole cobordism. The main technical difficulty in the \mathrm{SO(3)}-monopole program relating the Seiberg-Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible \mathrm{SO(3)} monopoles, namely the moduli spaces of Seiberg-Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the modu.
Notas:6.4.1. The standard splicing map
Descripción Física:1 online resource (254 pages)
ISBN:9781470449155
1470449153

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