Rohlin's invariant and gauge theory. II: Mapping tori

DOI10.2140/gt.2004.8.35zbMath1063.57025arXivmath/0306188OpenAlexW2020906624WikidataQ125271421 ScholiaQ125271421MaRDI QIDQ1882813

Daniel Ruberman, Nikolai Saveliev

Publication date: 1 October 2004

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306188

zbMATH Keywords

Floer homologyCasson invariantRohlin invariant

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Floer homology (57R58)

Related Items

Seifert hypersurfaces of 2-knots and Chern-Simons functional ⋮ Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture ⋮ A splitting theorem for the Seiberg-Witten invariant of a homology \(S^1\times S^3\) ⋮ Monopole Floer homology for rational homology 3-spheres ⋮ On the Frøyshov invariant and monopole Lefschetz number ⋮ The \({\bar\mu}\)-invariant of Seifert fibered homology spheres and the Dirac operator ⋮ On instanton homology of corks \(W_n\) ⋮ Heegaard Floer invariants in codimension one ⋮ On the monopole Lefschetz number of finite-order diffeomorphisms ⋮ A Levine-Tristram invariant for knotted tori ⋮ Rohlin's invariant and gauge theory III. Homology \(4\)--tori

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Differentiable structures on punctured 4-manifolds
• Transversality for equivariant exact 1-forms and gauge theory on 3-manifolds
• Casson's invariant and gauge theory
• Casson invariant of links of singularities
• A fake compact contractible 4-manifold
• An intersection homology invariant for knots in a rational homology 3- sphere
• Moduli spaces over manifolds with involutions
• Flat connections, the Alexander invariant, and Casson's invariant
• A note on Akbulut corks
• Floer homology of Brieskorn homology spheres
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Rohlin's invariant and gauge theory. I: Homology 3-tori
• Legendrian cobordism and Chern-Simons theory on 3-manifolds with boundary
• Polynomial invariants of knots of codimension two
• Equivariant Casson invariants via gauge theory
• Doubly Slice Knots and the Casson-Gordon Invariants
• Instanton Homology of Seifert Fibred Homology Three Spheres
• Varieties of Group Representations and Casson's Invariant for Rational Homology 3-Spheres
• The Smith Conjecture in dimension four and equivariant gauge theory
• Universal Formulae for SU$(n)$ Casson Invariants of Knots
• Representation spaces of Seifert fibered homology spheres
• Casson's knot invariant and gauge theory