4 papers
Low-regularity Seiberg-Witten moduli spaces on manifolds with boundary
Piotr Suwara
For a compact spinc manifold with boundary , we consider moduli spaces of solutions to the Seiberg-Witten equations in a generalized double Coulomb slice in…
The nature of triad interactions in active turbulence
Jonasz Słomka, Piotr Suwara, Jörn Dunkel
Generalized Navier-Stokes (GNS) equations describing three-dimensional (3D) active fluids with flow-dependent spectral forcing have been shown to possess numerical solutions that c…
An Index-Type Invariant of Knot Diagrams Giving Bounds for Unknotting Framed Unknots
Piotr Suwara, Albert Yue
We introduce a new knot diagram invariant called the Self-Crossing Index (SCI). Using SCI, we provide bounds for unknotting two families of framed unknots. For one of these familie…
Minimal generating sets of directed oriented Reidemeister moves
Piotr Suwara
Polyak proved that the set is a minimal generating set of oriented Reidemeister moves. One may distinguish between forward and backward mo…