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math.GT2025
The intersection polynomials of a long virtual knot II: Two supporting genera and characterizations
Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh +1
We develop the study of the twelve intersection polynomials of long virtual knots, previously introduced in our preceding paper. We define two geometric invariants, the - and $2…
math.GT2025
The intersection polynomials of a long virtual knot I: Definitions and properties
Takuji Nakamura, Yasutaka Nakanishi, Shin Satoh +1
We introduce twelve polynomial invariants for long virtual knots, called intersection polynomials, extending and refining the three intersection polynomials for virtual knots. They…