On the slice‐torus invariant qM from Z2‐equivariant Seiberg–Witten Floer cohomology

Key Points

• The aim is to demonstrate that a specific slice-torus invariant cannot be formed using known invariants in the framework of Seiberg-Witten Floer cohomology.
• Theoretical exploration of slice-torus invariants and their relationships with established invariants.
• Comparison of Iida–Taniguchi's invariant with Rasmussen's and other known invariants.
• Iida–Taniguchi's slice-torus invariant is shown to be distinct from the linear combinations of known invariants.
• The findings imply limitations in the current understanding and methods of categorizing these invariants.