Equivariant 4‐genera of strongly invertible and periodic knots
Keegan Boyle, Ahmad Issa
Abstract
We study the equivariant genera of strongly invertible and periodic knots. Our techniques include some new strongly invertible concordance group invariants, Donaldson's theorem, and the g-signature. We find many new examples where the equivariant 4-genus is larger than the 4-genus.
Topics & Concepts
Invertible matrixEquivariant mapMathematicsGenusPure mathematicsConcordanceSignature (topology)BotanyBiologyGeometryBioinformaticsGeometric and Algebraic TopologyHomotopy and Cohomology in Algebraic TopologyAdvanced Operator Algebra Research