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A MATRIX INVARIANT OF CURVES IN S2
https://doi.org/10.1142/S0218216502001950Cited by:3 (Source: Crossref)
Abstract
Let k: S1 → S2 be a generic immersion with n double points. We present an algorithm that assigns to k a partitioned n × n matrix over Z/2Z, and show that k gives rise to an orthogonal decomposition of (Z/2Z)n. We discuss a connection between this decomposition and the trip matrix of an alternating knot diagram produced from k.
