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Paper detail

The multi-variable Affine Index Polynomial for tangles

The multi-variable affine index polynomial was defined by the author in previous work. The aim of this short note is to update the definition so it is generalizable to virtual tangles and to show it is compatible with tangle decomposition. We also introduce the Turaev moves for virtual tangles, and discuss how to recover the weight of each crossing as an intersection pairing of homology classes.

preprint2022arXivOpen access
Nicolas Petit
math.GT
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Nicolas Petit

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