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Transversality for equivariant exact 1-forms and gauge theory on 3-manifolds

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Publication:817576
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DOI10.1016/j.aim.2005.09.007zbMath1091.57024OpenAlexW2109710191MaRDI QIDQ817576

Christopher M. Herald

Publication date: 16 March 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2005.09.007

zbMATH Keywords

symmetrybifurcationCasson invariantcritical sets


Mathematics Subject Classification ID

Floer homology (57R58) Critical points of functions and mappings on manifolds (58K05) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)


Related Items

Rohlin's invariant and gauge theory. II: Mapping tori, Klein-four connections and the Casson invariant for nontrivial admissible \(U(2)\) bundles



Cites Work

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  • Casson's invariant and gauge theory
  • Singularities and groups in bifurcation theory. Volume I
  • Singularities and groups in bifurcation theory. Volume II
  • An integer valued SU(3) Casson invariant
  • The \(\text{SU}(3)\) Casson invariant for integral homology \(3\)-spheres
  • An instanton-invariant for 3-manifolds
  • A perturbative \(SU(3)\) Casson invariant
  • Legendrian cobordism and Chern-Simons theory on 3-manifolds with boundary
  • Equivariant differential topology
  • Differential Topology
  • Lie groups
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