A note on the writhe polynomial and the virtual crossing number

Published 20 May 2018 in math.GT | (1805.07704v2)

Abstract: In this note we give a new lower bound on the virtual crossing number via the writhe polynomial, which refines a result of B. Mellor. The proof is based on a new interpretation of the writhe polynomial. The characterization of the writhe polynomial is also discussed.

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Zhiyun Cheng

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