Involutions, links, and Floer cohomologies

Floer homology (57R58) Group actions on manifolds and cell complexes in low dimensions (57M60) Knot theory (57K10) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)

Cites Work

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\(\text{Pin}^-(2)\)-monopole equations and intersection forms with local coefficients of four-manifolds
Nonorientable slice genus can be arbitrarily large
Concordance groups of links
The topology of four-dimensional manifolds
\(\mathrm{Pin}^{-}(2)\)-monopole invariants
Bauer-Furuta invariants under \({\mathbb{Z}_2}\)-actions
Normal bundles for an embedded \({\mathbb{R}}P^ 2\) in a positive definite 4- manifold
Pseudo-isotopies et isotopies en dimension quatre dans la catégorie topologique. (Pseudo-isotopies and isotopies of dimension four in the topological category)
Seiberg-Witten theory and \(\mathbb{Z}/2^p\) actions on spin 4-manifolds
Failure of Nielsen's theorem in higher dimensions
Seiberg-Witten Floer stable homotopy type of three-manifolds with \(b_1=0\)
Existence of spin structures on double branched covering spaces over four-manifolds
A remark on \(\operatorname{Pin}(2)\)-equivariant Floer homology
Isotopy of 4-manifolds
An application of gauge theory to four dimensional topology
Computations of the Ozsvath-Szabo knot concordance invariant
A counter-example to Batson's conjecture
Nonsmoothable actions of \(\mathbb{Z}_2\times\mathbb{Z}_2\) on spin four-manifolds
Nonorientable surfaces in homology cobordisms (with an appendix by Ira M. Gessel)
Obstructions to smooth group actions on 4-manifolds from families Seiberg-Witten theory
A new gauge slice for the relative Bauer-Furuta invariants
Involutive Heegaard Floer homology
Concordance homomorphisms from knot Floer homology
Rasmussen's spectral sequences and the \(\mathfrak{sl}_N\)-concordance invariants
On the intersection forms of spin four-manifolds with boundary
Proof of a conjecture of Whitney
Floer homology groups in Yang-Mills theory
The equivalence of two Seiberg-Witten Floer homologies
Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
The stable mapping class group of simply connected 4-manifolds
ORIENTABILITY AND REAL SEIBERG–WITTEN INVARIANTS
Signature of Links
Manolescu invariants of connected sums
On the Homology of Double Branched Covers
APPLICATIONS OF INVOLUTIVE HEEGAARD FLOER HOMOLOGY
Pin(2)-equivariant Seiberg–Witten Floer homology of Seifert fibrations
A Concordance Invariant from the Floer Homology of Double Branched Covers
A note on the Nielsen realization problem for 𝐾3 surfaces