Equivariant Casson invariants via gauge theory

DOI10.1515/crll.2001.090zbMath0989.57013OpenAlexW2032151541MaRDI QIDQ2757782

Nikolai Saveliev, Olivier Collin

Publication date: 3 December 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/efe0aa6867cf0fed6a0bf8a4ed0707d3a5837ad7

zbMATH Keywords

branched coverCasson invariantintegral homology 3-sphere

Mathematics Subject Classification ID

Equivariant algebraic topology of manifolds (57R91) General low-dimensional topology (57M99) Finite transformation groups (57S17) Floer homology (57R58)

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A class of knots with simple \(SU(2)\)-representations, Rohlin's invariant and gauge theory. II: Mapping tori, Complex surface singularities with integral homology sphere links, Link homology and equivariant gauge theory, On the geometry of the slice of trace-free \(SL_2(\mathbb{C})\)-characters of a knot group, 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 \(W_n\), Representation spaces of pretzel knots, On the Casson Invariant Conjecture of Neumann–Wahl, Casson-Walker invariants of cyclic covers branched along satellite knots, Representation spaces of Seifert fibered homology spheres, The Milnor Fiber Conjecture and iterated branched cyclic covers, On the monopole Lefschetz number of finite-order diffeomorphisms

Cites Work

• Time-ordering and topology
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• An Extension of Casson's Invariant. (AM-126)
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