We use the construction of unfolded Seiberg-Witten Floer spectra of general 3-manifolds defined in our previous paper to extend the notion of relative Bauer-Furuta invariants to general 4-manifolds with boundary. One of the main purposes of this paper is to give a detailed proof of the gluing theorem for the relative invariants.Comment: 83 pages. Typos fixed. Small change
Using the covering involution on the double branched cover of S3 branched along a knot, and adapting...
We prove a gluing formula for the families Seiberg–Witten invariants of families of 4–manifolds obta...
We construct a mixed invariant of non-orientable surfaces from the Lee and Bar-Natan deformations of...
We develop an equivariant version of Seiberg-Witten-Floer cohomology for finite group actions on rat...
Abstract. In a previous paper we have constructed an invariant of four-dimensional manifolds with bo...
We construct a new family of knot concordance invariants $\theta^{(q)}(K)$, where $q$ is a prime num...
We initiate explicit computations of Vafa-Witten invariants of 3-manifolds, analogous to Floer group...
In arXiv:2206.14710, we described an approach to Bialynicki-Birula theory for holomorphic $\mathbb{C...
The end point of this series of papers is to construct the monopole Floer homology for any pair $(Y,...
Author Manuscript: 4 Apr 2011We introduce a gauge-theoretic integer valued lift of the Rohlin invar...
The Chern-Simons perturbation theory gives an invariant $d(M,\rho)$ for a pair of a closed oriented ...
In this article, the author defines an invariant of rational homology 3-spheres equipped with a cont...
In this thesis, we define different versions of unfolded Seiberg-Witten Floer spectra for general 3-...
We introduce a new stable range invariant for the classification of closed, oriented topological $4$...
AbstractWe study the u-map in instanton Floer homology using Floer's exact surgery triangle. As an a...
Using the covering involution on the double branched cover of S3 branched along a knot, and adapting...
We prove a gluing formula for the families Seiberg–Witten invariants of families of 4–manifolds obta...
We construct a mixed invariant of non-orientable surfaces from the Lee and Bar-Natan deformations of...
We develop an equivariant version of Seiberg-Witten-Floer cohomology for finite group actions on rat...
Abstract. In a previous paper we have constructed an invariant of four-dimensional manifolds with bo...
We construct a new family of knot concordance invariants $\theta^{(q)}(K)$, where $q$ is a prime num...
We initiate explicit computations of Vafa-Witten invariants of 3-manifolds, analogous to Floer group...
In arXiv:2206.14710, we described an approach to Bialynicki-Birula theory for holomorphic $\mathbb{C...
The end point of this series of papers is to construct the monopole Floer homology for any pair $(Y,...
Author Manuscript: 4 Apr 2011We introduce a gauge-theoretic integer valued lift of the Rohlin invar...
The Chern-Simons perturbation theory gives an invariant $d(M,\rho)$ for a pair of a closed oriented ...
In this article, the author defines an invariant of rational homology 3-spheres equipped with a cont...
In this thesis, we define different versions of unfolded Seiberg-Witten Floer spectra for general 3-...
We introduce a new stable range invariant for the classification of closed, oriented topological $4$...
AbstractWe study the u-map in instanton Floer homology using Floer's exact surgery triangle. As an a...
Using the covering involution on the double branched cover of S3 branched along a knot, and adapting...
We prove a gluing formula for the families Seiberg–Witten invariants of families of 4–manifolds obta...
We construct a mixed invariant of non-orientable surfaces from the Lee and Bar-Natan deformations of...