127 citations · 476 across the 24 of their papers we have counts for
26 papers
SU(3) instanton homology for webs and foams
Peter B. Kronheimer, Tomasz S. Mrowka
An instanton homology is constructed for webs and foams, using gauge theory with structure group SU(3), adapting previous work of the authors for the SO(3) case. Skein exact triang…
Relations in singular instanton homology
Peter B. Kronheimer, Tomasz S. Mrowka
We calculate the singular instanton homology with local coefficients for the simplest n-strand braids in for all odd n, describing these homology groups and their…
The Dehn twist on a sum of two K3 surfaces
Peter Kronheimer, Tomasz Mrowka
Ruberman gave the first examples of self-diffeomorphisms of four-manifolds that are isotopic to the identity in the topological category but not smoothly so. We give another exampl…
Instantons and some concordance invariants of knots
Peter B. Kronheimer, Tomasz S. Mrowka
Concordance invariants of knots are derived from the instanton homology groups with local coefficients, as introduced in earlier work of the authors. These concordance invariants i…
Instantons and Bar-Natan homology
Peter B. Kronheimer, Tomasz S. Mrowka
A spectral sequence is established, whose page is Bar-Natan's variant of Khovanov homology and which abuts to a deformation of instanton homology for knots and links. This…
Instantons, Bar-Natan homology, and some concordance invariants of knots
P. B. Kronheimer, T. S. Mrowka
A spectral sequence is established, from Bar-Natan's variant of Khovanov homology to a deformation of instanton homology for knots and links. This spectral sequence arises as a spe…