State invariants of 2-bridge knots
MetadataShow full item record
In this paper, we consider generalizations of the Alexander polynomial and signature of 2-bridge knots by considering the Gordon–Litherland bilinear forms associated with essential state surfaces of the 2-bridge knots. We show that the resulting invariants are well-defined and explore properties of these invariants. Finally, we realize the boundary slopes of essential surfaces as differences of signatures of the knot.
Curtis, C. L., & Longo, V. (n.d). State invariants of 2-bridge knots. Journal Of Knot Theory And Its Ramifications, 27(2).
File not available for download due to copyright restrictions