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A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams
Published online by Cambridge University Press: 02 May 2023
Abstract
For a closed, connected, and oriented 3-manifold with a non-singular flow, we construct its virtual knot diagram via a “flow-spine” of the manifold. Then, we introduce a coloring invariant of 3-manifolds through their virtual knot diagrams, and classify some 3-manifolds by using the invariant.
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- © The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society
Footnotes
This work was supported by JSPS KAKENHI (Grant Nos. JP20K03621 and JP21K03244).